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10057920 = 263510477
BaseRepresentation
bin100110010111…
…100011000000
3200220222212120
4212113203000
510033323140
6555324240
7151330245
oct46274300
920828776
1010057920
11574a734
123450680
132112042
14149b5cc
15d3a1d0
hex9978c0

10057920 has 56 divisors (see below), whose sum is σ = 31936944. Its totient is φ = 2681856.

The previous prime is 10057913. The next prime is 10057921. The reversal of 10057920 is 2975001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (10057921) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4279 + ... + 6198.

Almost surely, 210057920 is an apocalyptic number.

10057920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10057920 is an abundant number, since it is smaller than the sum of its proper divisors (21879024).

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

10057920 is a wasteful number, since it uses less digits than its factorization.

10057920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10497 (or 10487 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 24.

The square root of 10057920 is about 3171.4223938164. The cubic root of 10057920 is about 215.8586180416.

The spelling of 10057920 in words is "ten million, fifty-seven thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 10477 20954 31431 41908 52385 62862 83816 104770 125724 157155 167632 209540 251448 314310 335264 419080 502896 628620 670528 838160 1005792 1257240 1676320 2011584 2514480 3352640 5028960 10057920