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10501680 = 2435721947
BaseRepresentation
bin101000000011…
…111000110000
3201202112121010
4220003320300
510142023210
61013030520
7155156100
oct50037060
921675533
1010501680
115a23082
123625440
132239017
141575200
15dc6920
hexa03e30

10501680 has 240 divisors, whose sum is σ = 40711680. Its totient is φ = 2225664.

The previous prime is 10501657. The next prime is 10501693. The reversal of 10501680 is 8610501.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×105016802 = 220570565644800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 223417 + ... + 223463.

It is an arithmetic number, because the mean of its divisors is an integer number (169632).

Almost surely, 210501680 is an apocalyptic number.

10501680 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 10501680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20355840).

10501680 is an abundant number, since it is smaller than the sum of its proper divisors (30210000).

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

10501680 is a wasteful number, since it uses less digits than its factorization.

10501680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 10501680 is about 3240.6295684635. The cubic root of 10501680 is about 218.9876350893.

The spelling of 10501680 in words is "ten million, five hundred one thousand, six hundred eighty".