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10147920 = 243542283
BaseRepresentation
bin100110101101…
…100001010000
3201002120022220
4212231201100
510044213140
61001301040
7152153526
oct46554120
921076286
1010147920
115801312
123494780
132143cb3
1414c2316
15d56bd0
hex9ad850

10147920 has 40 divisors (see below), whose sum is σ = 31459296. Its totient is φ = 2706048.

The previous prime is 10147903. The next prime is 10147927. The reversal of 10147920 is 2974101.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10147927) 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, 20902 + ... + 21381.

Almost surely, 210147920 is an apocalyptic number.

10147920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10147920 is an abundant number, since it is smaller than the sum of its proper divisors (21311376).

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

10147920 is a wasteful number, since it uses less digits than its factorization.

10147920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42299 (or 42293 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 10147920 is about 3185.5800099825. The cubic root of 10147920 is about 216.5005538089.

The spelling of 10147920 in words is "ten million, one hundred forty-seven thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 42283 84566 126849 169132 211415 253698 338264 422830 507396 634245 676528 845660 1014792 1268490 1691320 2029584 2536980 3382640 5073960 10147920