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102235392 = 283372113
BaseRepresentation
bin1100001011111…
…11110100000000
321010101002121000
412011333310000
5202133013032
614051132000
72350662240
oct605776400
9233332530
10102235392
1152788a66
122a2a4000
131824711c
14d813b20
158e96e7c
hex617fd00

102235392 has 144 divisors (see below), whose sum is σ = 345681280. Its totient is φ = 29196288.

The previous prime is 102235373. The next prime is 102235429. The reversal of 102235392 is 293532201.

102235392 is a `hidden beast` number, since 102 + 23 + 539 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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, 47328 + ... + 49440.

Almost surely, 2102235392 is an apocalyptic number.

102235392 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 102235392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172840640).

102235392 is an abundant number, since it is smaller than the sum of its proper divisors (243445888).

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

102235392 is an equidigital number, since it uses as much as digits as its factorization.

102235392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2145 (or 2125 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 102235392 is about 10111.1518631657. The cubic root of 102235392 is about 467.5920178807.

Adding to 102235392 its reverse (293532201), we get a palindrome (395767593).

The spelling of 102235392 in words is "one hundred two million, two hundred thirty-five thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 256 288 336 378 384 432 448 504 576 672 756 768 864 896 1008 1152 1344 1512 1728 1792 2016 2113 2304 2688 3024 3456 4032 4226 5376 6048 6339 6912 8064 8452 12096 12678 14791 16128 16904 19017 24192 25356 29582 33808 38034 44373 48384 50712 57051 59164 67616 76068 88746 101424 114102 118328 133119 135232 152136 177492 202848 228204 236656 266238 270464 304272 354984 399357 405696 456408 473312 532476 540928 608544 709968 798714 811392 912816 946624 1064952 1217088 1419936 1597428 1622784 1825632 1893248 2129904 2434176 2839872 3194856 3651264 3786496 4259808 4868352 5679744 6389712 7302528 8519616 11359488 12779424 14605056 17039232 25558848 34078464 51117696 102235392