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102191376 = 2437319811
BaseRepresentation
bin1100001011101…
…01000100010000
321010021212012210
412011311010100
5202130111001
614050152120
72350420020
oct605650420
9233255183
10102191376
1152758991
122a282640
1318230091
14d801a80
158e88dd6
hex6175110

102191376 has 80 divisors (see below), whose sum is σ = 311472128. Its totient is φ = 28252800.

The previous prime is 102191359. The next prime is 102191413. The reversal of 102191376 is 673191201.

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, 5511 + ... + 15321.

Almost surely, 2102191376 is an apocalyptic number.

102191376 is a gapful number since it is divisible by the number (16) 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 102191376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155736064).

102191376 is an abundant number, since it is smaller than the sum of its proper divisors (209280752).

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

102191376 is a wasteful number, since it uses less digits than its factorization.

102191376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9860 (or 9854 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 30.

The square root of 102191376 is about 10108.9750222265. The cubic root of 102191376 is about 467.5249032079.

The spelling of 102191376 in words is "one hundred two million, one hundred ninety-one thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 48 56 62 84 93 112 124 168 186 217 248 336 372 434 496 651 744 868 1302 1488 1736 2604 3472 5208 9811 10416 19622 29433 39244 58866 68677 78488 117732 137354 156976 206031 235464 274708 304141 412062 470928 549416 608282 824124 912423 1098832 1216564 1648248 1824846 2128987 2433128 3296496 3649692 4257974 4866256 6386961 7299384 8515948 12773922 14598768 17031896 25547844 34063792 51095688 102191376