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100660560 = 243571113419
BaseRepresentation
bin1011111111111…
…11010101010000
321000102002022220
411333333111100
5201232114220
613553301040
72331413010
oct577772520
9230362286
10100660560
1151902850
1229864780
1317b15380
14d523c40
158c85540
hex5fff550

100660560 has 320 divisors, whose sum is σ = 419973120. Its totient is φ = 19261440.

The previous prime is 100660559. The next prime is 100660577. The reversal of 100660560 is 65066001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 4.

It is a self number, because there is not a number n which added to its sum of digits gives 100660560.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 240031 + ... + 240449.

It is an arithmetic number, because the mean of its divisors is an integer number (1312416).

Almost surely, 2100660560 is an apocalyptic number.

100660560 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 100660560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209986560).

100660560 is an abundant number, since it is smaller than the sum of its proper divisors (319312560).

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

100660560 is a wasteful number, since it uses less digits than its factorization.

100660560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 100660560 is about 10032.9736369633. The cubic root of 100660560 is about 465.1786572138.

The spelling of 100660560 in words is "one hundred million, six hundred sixty thousand, five hundred sixty".