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102853680 = 2435428557
BaseRepresentation
bin1100010000101…
…10110000110000
321011112111201120
412020112300300
5202312304210
614112302240
72356145646
oct610266060
9234474646
10102853680
1153070546
122a541980
1318402687
14d935196
15906a270
hex6216c30

102853680 has 40 divisors (see below), whose sum is σ = 318847152. Its totient is φ = 27427584.

The previous prime is 102853679. The next prime is 102853687. The reversal of 102853680 is 86358201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (102853687) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 214039 + ... + 214518.

Almost surely, 2102853680 is an apocalyptic number.

102853680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102853680 is an abundant number, since it is smaller than the sum of its proper divisors (215993472).

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

102853680 is a wasteful number, since it uses less digits than its factorization.

102853680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428573 (or 428567 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 102853680 is about 10141.6803341458. The cubic root of 102853680 is about 468.5327412749.

The spelling of 102853680 in words is "one hundred two million, eight hundred fifty-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 428557 857114 1285671 1714228 2142785 2571342 3428456 4285570 5142684 6428355 6856912 8571140 10285368 12856710 17142280 20570736 25713420 34284560 51426840 102853680