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102406237 = 31131151167
BaseRepresentation
bin1100001101010…
…01100001011101
321010200202221121
412012221201131
5202203444422
614054530541
72352303313
oct606514135
9233622847
10102406237
115289535a
122a366a51
13182a6b0b
14d85a0b3
158ecc8c7
hex61a985d

102406237 has 16 divisors (see below), whose sum is σ = 107864064. Its totient is φ = 97110000.

The previous prime is 102406141. The next prime is 102406247. The reversal of 102406237 is 732604201.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-102406237 is a prime.

It is a super-4 number, since 4×1024062374 (a number of 33 digits) contains 4444 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102406247) 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 15 ways as a sum of consecutive naturals, for example, 613128 + ... + 613294.

It is an arithmetic number, because the mean of its divisors is an integer number (6741504).

Almost surely, 2102406237 is an apocalyptic number.

It is an amenable number.

102406237 is a deficient number, since it is larger than the sum of its proper divisors (5457827).

102406237 is a wasteful number, since it uses less digits than its factorization.

102406237 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480.

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 102406237 is about 10119.5966816865. The cubic root of 102406237 is about 467.8523364101.

The spelling of 102406237 in words is "one hundred two million, four hundred six thousand, two hundred thirty-seven".

Divisors: 1 31 131 151 167 4061 4681 5177 19781 21877 25217 613211 678187 781727 3303427 102406237