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102406436 = 221117791733
BaseRepresentation
bin1100001101010…
…01100100100100
321010200210012222
412012221210210
5202204001221
614054531512
72352304016
oct606514444
9233623188
10102406436
1152895520
122a366b98
13182a6c32
14d85a1b6
158ecc9ab
hex61a9924

102406436 has 48 divisors (see below), whose sum is σ = 209744640. Its totient is φ = 43230720.

The previous prime is 102406433. The next prime is 102406439. The reversal of 102406436 is 634604201.

It is an interprime number because it is at equal distance from previous prime (102406433) and next prime (102406439).

It is not an unprimeable number, because it can be changed into a prime (102406433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58226 + ... + 59958.

It is an arithmetic number, because the mean of its divisors is an integer number (4369680).

Almost surely, 2102406436 is an apocalyptic number.

It is an amenable number.

102406436 is an abundant number, since it is smaller than the sum of its proper divisors (107338204).

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

102406436 is a wasteful number, since it uses less digits than its factorization.

102406436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1844 (or 1842 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 102406436 is about 10119.6065140894. The cubic root of 102406436 is about 467.8526394598.

The spelling of 102406436 in words is "one hundred two million, four hundred six thousand, four hundred thirty-six".

Divisors: 1 2 4 11 17 22 34 44 68 79 158 187 316 374 748 869 1343 1733 1738 2686 3466 3476 5372 6932 14773 19063 29461 29546 38126 58922 59092 76252 117844 136907 273814 324071 547628 648142 1296284 1505977 2327419 3011954 4654838 6023908 9309676 25601609 51203218 102406436