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107024256 = 2732611523
BaseRepresentation
bin1100110000100…
…00111110000000
321110101101200100
412120100332000
5204344234011
614341522400
72436456033
oct630207600
9243341610
10107024256
11554599a9
122ba13400
1319232a81
14102dd01a
1595e0d56
hex6610f80

107024256 has 96 divisors (see below), whose sum is σ = 313227720. Its totient is φ = 35066880.

The previous prime is 107024251. The next prime is 107024261. The reversal of 107024256 is 652420701.

It is an interprime number because it is at equal distance from previous prime (107024251) and next prime (107024261).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1070242562 = 22908382744707072, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107024251) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 69511 + ... + 71033.

Almost surely, 2107024256 is an apocalyptic number.

107024256 is a gapful number since it is divisible by the number (16) 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 107024256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156613860).

107024256 is an abundant number, since it is smaller than the sum of its proper divisors (206203464).

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

107024256 is a wasteful number, since it uses less digits than its factorization.

107024256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1604 (or 1589 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 107024256 is about 10345.2528243635. The cubic root of 107024256 is about 474.7818107791.

Adding to 107024256 its reverse (652420701), we get a palindrome (759444957).

The spelling of 107024256 in words is "one hundred seven million, twenty-four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 61 64 72 96 122 128 144 183 192 244 288 366 384 488 549 576 732 976 1098 1152 1464 1523 1952 2196 2928 3046 3904 4392 4569 5856 6092 7808 8784 9138 11712 12184 13707 17568 18276 23424 24368 27414 35136 36552 48736 54828 70272 73104 92903 97472 109656 146208 185806 194944 219312 278709 292416 371612 438624 557418 584832 743224 836127 877248 1114836 1486448 1672254 1754496 2229672 2972896 3344508 4459344 5945792 6689016 8918688 11891584 13378032 17837376 26756064 35674752 53512128 107024256