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102153852 = 22336311499
BaseRepresentation
bin1100001011010…
…11111001111100
321010012221202000
412011223321330
5202122410402
614045302300
72350202433
oct605537174
9233187660
10102153852
1152732779
122a264990
1318218c88
14d7d211a
158e7cc1c
hex616be7c

102153852 has 48 divisors (see below), whose sum is σ = 265440000. Its totient is φ = 33974640.

The previous prime is 102153841. The next prime is 102153869. The reversal of 102153852 is 258351201.

It is a happy number.

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67399 + ... + 68897.

It is an arithmetic number, because the mean of its divisors is an integer number (5530000).

Almost surely, 2102153852 is an apocalyptic number.

102153852 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102153852 is an abundant number, since it is smaller than the sum of its proper divisors (163286148).

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

102153852 is a wasteful number, since it uses less digits than its factorization.

102153852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2143 (or 2135 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 102153852 is about 10107.1188773062. The cubic root of 102153852 is about 467.4676721810.

The spelling of 102153852 in words is "one hundred two million, one hundred fifty-three thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 631 1262 1499 1893 2524 2998 3786 4497 5679 5996 7572 8994 11358 13491 17037 17988 22716 26982 34074 40473 53964 68148 80946 161892 945869 1891738 2837607 3783476 5675214 8512821 11350428 17025642 25538463 34051284 51076926 102153852