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760245138 = 2321971131239
BaseRepresentation
bin101101010100000…
…110101110010010
31221222112110021100
4231110012232102
53024110321023
6203234405230
724560656062
oct5524065622
91858473240
10760245138
11360158474
12192730816
13c1673ac3
1472d7b3a2
1546b22c43
hex2d506b92

760245138 has 96 divisors (see below), whose sum is σ = 1779148800. Its totient is φ = 233906400.

The previous prime is 760245113. The next prime is 760245139. The reversal of 760245138 is 831542067.

760245138 is a `hidden beast` number, since 7 + 602 + 45 + 1 + 3 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (760245139) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3180823 + ... + 3181061.

It is an arithmetic number, because the mean of its divisors is an integer number (18532800).

Almost surely, 2760245138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 760245138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (889574400).

760245138 is an abundant number, since it is smaller than the sum of its proper divisors (1018903662).

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

760245138 is a wasteful number, since it uses less digits than its factorization.

760245138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 760245138 is about 27572.5431906453. The cubic root of 760245138 is about 912.6786341463.

The spelling of 760245138 in words is "seven hundred sixty million, two hundred forty-five thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 18 19 38 57 71 114 131 142 171 213 239 262 342 393 426 478 639 717 786 1179 1278 1349 1434 2151 2358 2489 2698 4047 4302 4541 4978 7467 8094 9082 9301 12141 13623 14934 16969 18602 22401 24282 27246 27903 31309 33938 40869 44802 50907 55806 62618 81738 83709 93927 101814 152721 167418 176719 187854 281781 305442 322411 353438 530157 563562 594871 644822 967233 1060314 1189742 1590471 1784613 1934466 2222939 2901699 3180942 3569226 4445878 5353839 5803398 6668817 10707678 13337634 20006451 40012902 42235841 84471682 126707523 253415046 380122569 760245138