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102143976 = 233113710457
BaseRepresentation
bin1100001011010…
…01011111101000
321010012110012020
412011221133220
5202122101401
614045144440
72350131564
oct605513750
9233173166
10102143976
1152726310
122a25b120
131821462c
14d7cc6a4
158e79d36
hex61697e8

102143976 has 64 divisors (see below), whose sum is σ = 286130880. Its totient is φ = 30113280.

The previous prime is 102143959. The next prime is 102144001. The reversal of 102143976 is 679341201.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 4540 + ... + 14996.

It is an arithmetic number, because the mean of its divisors is an integer number (4470795).

Almost surely, 2102143976 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 102143976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143065440).

102143976 is an abundant number, since it is smaller than the sum of its proper divisors (183986904).

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

102143976 is a wasteful number, since it uses less digits than its factorization.

102143976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10514 (or 10510 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 102143976 is about 10106.6302989671. The cubic root of 102143976 is about 467.4526071282.

The spelling of 102143976 in words is "one hundred two million, one hundred forty-three thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 37 44 66 74 88 111 132 148 222 264 296 407 444 814 888 1221 1628 2442 3256 4884 9768 10457 20914 31371 41828 62742 83656 115027 125484 230054 250968 345081 386909 460108 690162 773818 920216 1160727 1380324 1547636 2321454 2760648 3095272 4255999 4642908 8511998 9285816 12767997 17023996 25535994 34047992 51071988 102143976