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1142631540 = 22325173131193
BaseRepresentation
bin100010000011011…
…0010110001110100
32221122001200210200
41010012302301310
54320003202130
6305214320500
740213131201
oct10406626164
92848050720
101142631540
11536a92a96
1227a7b9130
1315295924b
14aba78ca8
156a4a7760
hex441b2c74

1142631540 has 144 divisors (see below), whose sum is σ = 3684674448. Its totient is φ = 285622272.

The previous prime is 1142631527. The next prime is 1142631541. The reversal of 1142631540 is 451362411.

It is a happy number.

1142631540 is a `hidden beast` number, since 114 + 2 + 6 + 3 + 1 + 540 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 80784144 + 1061847396 = 8988^2 + 32586^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1142631541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 957184 + ... + 958376.

It is an arithmetic number, because the mean of its divisors is an integer number (25588017).

Almost surely, 21142631540 is an apocalyptic number.

1142631540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1142631540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1842337224).

1142631540 is an abundant number, since it is smaller than the sum of its proper divisors (2542042908).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1142631540 is a wasteful number, since it uses less digits than its factorization.

1142631540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1538 (or 1533 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1142631540 is about 33802.8333132002. The cubic root of 1142631540 is about 1045.4471168035.

Adding to 1142631540 its reverse (451362411), we get a palindrome (1593993951).

The spelling of 1142631540 in words is "one billion, one hundred forty-two million, six hundred thirty-one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 313 340 510 612 626 765 939 1020 1193 1252 1530 1565 1878 2386 2817 3060 3130 3579 3756 4695 4772 5321 5634 5965 6260 7158 9390 10642 10737 11268 11930 14085 14316 15963 17895 18780 20281 21284 21474 23860 26605 28170 31926 35790 40562 42948 47889 53210 53685 56340 60843 63852 71580 79815 81124 95778 101405 106420 107370 121686 159630 182529 191556 202810 214740 239445 243372 304215 319260 365058 373409 405620 478890 608430 730116 746818 912645 957780 1120227 1216860 1493636 1825290 1867045 2240454 3360681 3650580 3734090 4480908 5601135 6347953 6721362 7468180 11202270 12695906 13442724 16803405 19043859 22404540 25391812 31739765 33606810 38087718 57131577 63479530 67213620 76175436 95219295 114263154 126959060 190438590 228526308 285657885 380877180 571315770 1142631540