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1040232040 = 2351723227293
BaseRepresentation
bin111110000000001…
…010111001101000
32200111101021002121
4332000022321220
54112244411130
6251115441024
734530553321
oct7600127150
92614337077
101040232040
11494202801
12250456174
13137685523
149c221448
15614cbd7a
hex3e00ae68

1040232040 has 128 divisors (see below), whose sum is σ = 2606204160. Its totient is φ = 371666944.

The previous prime is 1040232029. The next prime is 1040232043. The reversal of 1040232040 is 402320401.

It is not an unprimeable number, because it can be changed into a prime (1040232043) 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 31 ways as a sum of consecutive naturals, for example, 3550134 + ... + 3550426.

It is an arithmetic number, because the mean of its divisors is an integer number (20360970).

Almost surely, 21040232040 is an apocalyptic number.

1040232040 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 1040232040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1303102080).

1040232040 is an abundant number, since it is smaller than the sum of its proper divisors (1565972120).

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

1040232040 is a wasteful number, since it uses less digits than its factorization.

1040232040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 1040232040 is about 32252.6284200218. The cubic root of 1040232040 is about 1013.2347487003.

Adding to 1040232040 its reverse (402320401), we get a palindrome (1442552441).

The spelling of 1040232040 in words is "one billion, forty million, two hundred thirty-two thousand, forty".

Divisors: 1 2 4 5 8 10 17 20 23 34 40 46 68 85 92 115 136 170 184 227 230 293 340 391 454 460 586 680 782 908 920 1135 1172 1465 1564 1816 1955 2270 2344 2930 3128 3859 3910 4540 4981 5221 5860 6739 7718 7820 9080 9962 10442 11720 13478 15436 15640 19295 19924 20884 24905 26105 26956 30872 33695 38590 39848 41768 49810 52210 53912 66511 67390 77180 88757 99620 104420 114563 133022 134780 154360 177514 199240 208840 229126 266044 269560 332555 355028 443785 458252 532088 572815 665110 710056 887570 916504 1130687 1145630 1330220 1529753 1775140 2261374 2291260 2660440 3059506 3550280 4522748 4582520 5653435 6119012 7648765 9045496 11306870 12238024 15297530 22613740 26005801 30595060 45227480 52011602 61190120 104023204 130029005 208046408 260058010 520116020 1040232040