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102432252 = 22313253953
BaseRepresentation
bin1100001101011…
…11110111111100
321010202002122010
412012233313330
5202210313002
614055251220
72352442206
oct606576774
9233662563
10102432252
115290295a
122a379b10
13182b5900
14d865776
158ed546c
hex61afdfc

102432252 has 72 divisors (see below), whose sum is σ = 263967984. Its totient is φ = 30890496.

The previous prime is 102432229. The next prime is 102432283. The reversal of 102432252 is 252234201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107008 + ... + 107960.

It is an arithmetic number, because the mean of its divisors is an integer number (3666222).

Almost surely, 2102432252 is an apocalyptic number.

102432252 is a gapful number since it is divisible by the number (12) 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 102432252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131983992).

102432252 is an abundant number, since it is smaller than the sum of its proper divisors (161535732).

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

102432252 is a wasteful number, since it uses less digits than its factorization.

102432252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1039 (or 1024 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 102432252 is about 10120.8819773773. The cubic root of 102432252 is about 467.8919503646.

Adding to 102432252 its reverse (252234201), we get a palindrome (354666453).

The spelling of 102432252 in words is "one hundred two million, four hundred thirty-two thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 53 78 106 156 159 169 212 318 338 507 636 676 689 953 1014 1378 1906 2028 2067 2756 2859 3812 4134 5718 8268 8957 11436 12389 17914 24778 26871 35828 37167 49556 50509 53742 74334 101018 107484 148668 151527 161057 202036 303054 322114 483171 606108 644228 656617 966342 1313234 1932684 1969851 2626468 3939702 7879404 8536021 17072042 25608063 34144084 51216126 102432252