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102153304 = 231123411231
BaseRepresentation
bin1100001011010…
…11110001011000
321010012220222201
412011223301120
5202122401204
614045255544
72350201021
oct605536130
9233186881
10102153304
1152732320
122a2645b4
1318218956
14d7d1c48
158e7c9a4
hex616bc58

102153304 has 64 divisors (see below), whose sum is σ = 223534080. Its totient is φ = 43296000.

The previous prime is 102153299. The next prime is 102153307. The reversal of 102153304 is 403351201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102153307) by changing a digit.

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, 82369 + ... + 83599.

It is an arithmetic number, because the mean of its divisors is an integer number (3492720).

Almost surely, 2102153304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102153304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111767040).

102153304 is an abundant number, since it is smaller than the sum of its proper divisors (121380776).

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

102153304 is a wasteful number, since it uses less digits than its factorization.

102153304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 102153304 is about 10107.0917676649. The cubic root of 102153304 is about 467.4668362760.

The spelling of 102153304 in words is "one hundred two million, one hundred fifty-three thousand, three hundred four".

Divisors: 1 2 4 8 11 22 23 41 44 46 82 88 92 164 184 253 328 451 506 902 943 1012 1231 1804 1886 2024 2462 3608 3772 4924 7544 9848 10373 13541 20746 27082 28313 41492 50471 54164 56626 82984 100942 108328 113252 201884 226504 311443 403768 555181 622886 1110362 1160833 1245772 2220724 2321666 2491544 4441448 4643332 9286664 12769163 25538326 51076652 102153304