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102066560 = 2751011579
BaseRepresentation
bin1100001010101…
…10100110000000
321010001111222222
412011112212000
5202112112220
614043350212
72346360101
oct605264600
9233044888
10102066560
1152683132
122a222368
13181b831b
14d7ac3a8
158e61e25
hex6156980

102066560 has 64 divisors (see below), whose sum is σ = 246574800. Its totient is φ = 40396800.

The previous prime is 102066557. The next prime is 102066583. The reversal of 102066560 is 65660201.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63851 + ... + 65429.

Almost surely, 2102066560 is an apocalyptic number.

102066560 is a gapful number since it is divisible by the number (10) 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 102066560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123287400).

102066560 is an abundant number, since it is smaller than the sum of its proper divisors (144508240).

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

102066560 is a wasteful number, since it uses less digits than its factorization.

102066560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1699 (or 1687 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 102066560 is about 10102.7996119887. The cubic root of 102066560 is about 467.3344815215.

The spelling of 102066560 in words is "one hundred two million, sixty-six thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 101 128 160 202 320 404 505 640 808 1010 1579 1616 2020 3158 3232 4040 6316 6464 7895 8080 12632 12928 15790 16160 25264 31580 32320 50528 63160 64640 101056 126320 159479 202112 252640 318958 505280 637916 797395 1010560 1275832 1594790 2551664 3189580 5103328 6379160 10206656 12758320 20413312 25516640 51033280 102066560