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100486080 = 26325233741
BaseRepresentation
bin1011111110101…
…00101111000000
321000002012222200
411333110233000
5201211023310
613545433200
72330055222
oct577245700
9230065880
10100486080
11517a3752
122979b800
1317a83b26
14d4ba412
158c4d9c0
hex5fd4bc0

100486080 has 336 divisors, whose sum is σ = 379439424. Its totient is φ = 24330240.

The previous prime is 100486069. The next prime is 100486109. The reversal of 100486080 is 80684001.

100486080 is a `hidden beast` number, since 10 + 0 + 48 + 608 + 0 = 666.

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, 2450860 + ... + 2450900.

It is an arithmetic number, because the mean of its divisors is an integer number (1129284).

Almost surely, 2100486080 is an apocalyptic number.

100486080 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 100486080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189719712).

100486080 is an abundant number, since it is smaller than the sum of its proper divisors (278953344).

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

100486080 is a wasteful number, since it uses less digits than its factorization.

100486080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 100486080 is about 10024.2745373418. The cubic root of 100486080 is about 464.9097292684.

The spelling of 100486080 in words is "one hundred million, four hundred eighty-six thousand, eighty".