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10045920 = 253520929
BaseRepresentation
bin100110010100…
…100111100000
3200220101102010
4212110213200
510032432140
6555152520
7151250253
oct46244740
920811363
1010045920
115741715
123445740
132109741
14149709a
15d36880
hex9949e0

10045920 has 48 divisors (see below), whose sum is σ = 31646160. Its totient is φ = 2678784.

The previous prime is 10045901. The next prime is 10045933. The reversal of 10045920 is 2954001.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

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, 9985 + ... + 10944.

It is an arithmetic number, because the mean of its divisors is an integer number (659295).

Almost surely, 210045920 is an apocalyptic number.

10045920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10045920 is an abundant number, since it is smaller than the sum of its proper divisors (21600240).

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

10045920 is a wasteful number, since it uses less digits than its factorization.

10045920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20947 (or 20939 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 10045920 is about 3169.5299336021. The cubic root of 10045920 is about 215.7727376523.

Adding to 10045920 its reverse (2954001), we get a palindrome (12999921).

The spelling of 10045920 in words is "ten million, forty-five thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 20929 41858 62787 83716 104645 125574 167432 209290 251148 313935 334864 418580 502296 627870 669728 837160 1004592 1255740 1674320 2009184 2511480 3348640 5022960 10045920