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102437947 = 29149151157
BaseRepresentation
bin1100001101100…
…01010000111011
321010202101110001
412012301100323
5202211003242
614055333431
72352464623
oct606612073
9233671401
10102437947
1152907167
122a381277
13182b8391
14d867883
158ed6eb7
hex61b143b

102437947 has 16 divisors (see below), whose sum is σ = 108072000. Its totient is φ = 96969600.

The previous prime is 102437899. The next prime is 102437969. The reversal of 102437947 is 749734201.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-102437947 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102437977) 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, 652393 + ... + 652549.

It is an arithmetic number, because the mean of its divisors is an integer number (6754500).

Almost surely, 2102437947 is an apocalyptic number.

102437947 is a deficient number, since it is larger than the sum of its proper divisors (5634053).

102437947 is a wasteful number, since it uses less digits than its factorization.

102437947 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486.

The product of its (nonzero) digits is 42336, while the sum is 37.

The square root of 102437947 is about 10121.1633224645. The cubic root of 102437947 is about 467.9006214463.

The spelling of 102437947 in words is "one hundred two million, four hundred thirty-seven thousand, nine hundred forty-seven".

Divisors: 1 29 149 151 157 4321 4379 4553 22499 23393 23707 652471 678397 687503 3532343 102437947