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9930920 = 2351973179
BaseRepresentation
bin100101111000…
…100010101000
3200200112122212
4211320202220
510020242140
6552504252
7150261056
oct45704250
920615585
109930920
11567327a
1233ab088
1320992ac
1414671d6
15d12765
hex9788a8

9930920 has 64 divisors (see below), whose sum is σ = 23976000. Its totient is φ = 3691008.

The previous prime is 9930919. The next prime is 9930923. The reversal of 9930920 is 290399.

It is not an unprimeable number, because it can be changed into a prime (9930923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55391 + ... + 55569.

It is an arithmetic number, because the mean of its divisors is an integer number (374625).

Almost surely, 29930920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9930920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11988000).

9930920 is an abundant number, since it is smaller than the sum of its proper divisors (14045080).

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

9930920 is a wasteful number, since it uses less digits than its factorization.

9930920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 32.

The square root of 9930920 is about 3151.3362245244. The cubic root of 9930920 is about 214.9462277640.

The spelling of 9930920 in words is "nine million, nine hundred thirty thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 73 76 95 146 152 179 190 292 358 365 380 584 716 730 760 895 1387 1432 1460 1790 2774 2920 3401 3580 5548 6802 6935 7160 11096 13067 13604 13870 17005 26134 27208 27740 34010 52268 55480 65335 68020 104536 130670 136040 248273 261340 496546 522680 993092 1241365 1986184 2482730 4965460 9930920