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10046480 = 245314051
BaseRepresentation
bin100110010100…
…110000010000
3200220102011212
4212110300100
510032441410
6555155252
7151252013
oct46246020
920812155
1010046480
115742084
123445b28
132109a82
14149737a
15d36b05
hex994c10

10046480 has 40 divisors (see below), whose sum is σ = 24117504. Its totient is φ = 3888000.

The previous prime is 10046471. The next prime is 10046501. The reversal of 10046480 is 8464001.

It is a happy number.

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

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, 455 + ... + 4505.

Almost surely, 210046480 is an apocalyptic number.

10046480 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 10046480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12058752).

10046480 is an abundant number, since it is smaller than the sum of its proper divisors (14071024).

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

10046480 is a wasteful number, since it uses less digits than its factorization.

10046480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4095 (or 4089 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 10046480 is about 3169.6182735465. The cubic root of 10046480 is about 215.7767469247.

The spelling of 10046480 in words is "ten million, forty-six thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 310 496 620 1240 2480 4051 8102 16204 20255 32408 40510 64816 81020 125581 162040 251162 324080 502324 627905 1004648 1255810 2009296 2511620 5023240 10046480