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1142625540 = 2235723911383
BaseRepresentation
bin100010000011011…
…0001010100000100
32221122001101120110
41010012301110010
54320003004130
6305214233020
740213104540
oct10406612404
92848041513
101142625540
11536a89531
1227a7b5770
131529565b4
14aba76a20
156a4a5ab0
hex441b1504

1142625540 has 96 divisors (see below), whose sum is σ = 3672023040. Its totient is φ = 260055936.

The previous prime is 1142625511. The next prime is 1142625551. The reversal of 1142625540 is 455262411.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1142625498 and 1142625507.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94689 + ... + 106071.

It is an arithmetic number, because the mean of its divisors is an integer number (38250240).

Almost surely, 21142625540 is an apocalyptic number.

1142625540 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 1142625540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1836011520).

1142625540 is an abundant number, since it is smaller than the sum of its proper divisors (2529397500).

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

1142625540 is a wasteful number, since it uses less digits than its factorization.

1142625540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11641 (or 11639 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 1142625540 is about 33802.7445631268. The cubic root of 1142625540 is about 1045.4452869066.

Adding to 1142625540 its reverse (455262411), we get a palindrome (1597887951).

The spelling of 1142625540 in words is "one billion, one hundred forty-two million, six hundred twenty-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 239 420 478 717 956 1195 1434 1673 2390 2868 3346 3585 4780 5019 6692 7170 8365 10038 11383 14340 16730 20076 22766 25095 33460 34149 45532 50190 56915 68298 79681 100380 113830 136596 159362 170745 227660 239043 318724 341490 398405 478086 682980 796810 956172 1195215 1593620 2390430 2720537 4780860 5441074 8161611 10882148 13602685 16323222 19043759 27205370 32646444 38087518 40808055 54410740 57131277 76175036 81616110 95218795 114262554 163232220 190437590 228525108 285656385 380875180 571312770 1142625540