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102187092 = 223719431489
BaseRepresentation
bin1100001011101…
…00000001010100
321010021122100010
412011310001110
5202124441332
614050120220
72350401360
oct605640124
9233248303
10102187092
1152755747
122a280070
131822b147
14d8002a0
158e879cc
hex6174054

102187092 has 96 divisors (see below), whose sum is σ = 293708800. Its totient is φ = 26998272.

The previous prime is 102187087. The next prime is 102187093. The reversal of 102187092 is 290781201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102187093) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67884 + ... + 69372.

Almost surely, 2102187092 is an apocalyptic number.

102187092 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 102187092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146854400).

102187092 is an abundant number, since it is smaller than the sum of its proper divisors (191521708).

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

102187092 is a wasteful number, since it uses less digits than its factorization.

102187092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1565 (or 1563 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 30.

The square root of 102187092 is about 10108.7631290876. The cubic root of 102187092 is about 467.5183700256.

The spelling of 102187092 in words is "one hundred two million, one hundred eighty-seven thousand, ninety-two".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 43 57 76 84 86 114 129 133 172 228 258 266 301 399 516 532 602 798 817 903 1204 1489 1596 1634 1806 2451 2978 3268 3612 4467 4902 5719 5956 8934 9804 10423 11438 17157 17868 20846 22876 28291 31269 34314 41692 56582 62538 64027 68628 84873 113164 125076 128054 169746 192081 198037 256108 339492 384162 396074 448189 594111 768324 792148 896378 1188222 1216513 1344567 1792756 2376444 2433026 2689134 3649539 4866052 5378268 7299078 8515591 14598156 17031182 25546773 34062364 51093546 102187092