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102437972 = 22713281423
BaseRepresentation
bin1100001101100…
…01010001010100
321010202101110222
412012301101110
5202211003342
614055333512
72352464660
oct606612124
9233671428
10102437972
115290718a
122a381298
13182b83b0
14d8678a0
158ed6ed2
hex61b1454

102437972 has 24 divisors (see below), whose sum is σ = 220636416. Its totient is φ = 40524768.

The previous prime is 102437969. The next prime is 102437977. The reversal of 102437972 is 279734201.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a congruent 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 (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 140348 + ... + 141075.

It is an arithmetic number, because the mean of its divisors is an integer number (9193184).

Almost surely, 2102437972 is an apocalyptic number.

It is an amenable number.

102437972 is an abundant number, since it is smaller than the sum of its proper divisors (118198444).

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

102437972 is a wasteful number, since it uses less digits than its factorization.

102437972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281447 (or 281445 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 35.

The square root of 102437972 is about 10121.1645575003. The cubic root of 102437972 is about 467.9006595100.

The spelling of 102437972 in words is "one hundred two million, four hundred thirty-seven thousand, nine hundred seventy-two".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 364 281423 562846 1125692 1969961 3658499 3939922 7316998 7879844 14633996 25609493 51218986 102437972