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10046900 = 2252100469
BaseRepresentation
bin100110010100…
…110110110100
3200220102202102
4212110312310
510033000100
6555201232
7151253153
oct46246664
920812672
1010046900
115742426
123446218
13210a016
14149759a
15d36cd5
hex994db4

10046900 has 18 divisors (see below), whose sum is σ = 21801990. Its totient is φ = 4018720.

The previous prime is 10046893. The next prime is 10046903. The reversal of 10046900 is 964001.

10046900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 2184484 + 7862416 = 1478^2 + 2804^2 .

It is a super-2 number, since 2×100469002 = 201880399220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10046903) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50135 + ... + 50334.

Almost surely, 210046900 is an apocalyptic number.

10046900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10046900 is an abundant number, since it is smaller than the sum of its proper divisors (11755090).

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

10046900 is a wasteful number, since it uses less digits than its factorization.

10046900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100483 (or 100476 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 10046900 is about 3169.6845268891. The cubic root of 10046900 is about 215.7797537812.

The spelling of 10046900 in words is "ten million, forty-six thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 100469 200938 401876 502345 1004690 2009380 2511725 5023450 10046900