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9930144 = 253722111
BaseRepresentation
bin100101111000…
…010110100000
3200200111121010
4211320112200
510020231034
6552500520
7150255600
oct45702640
920614533
109930144
115672734
1233aa740
132098b33
141466c00
15d123e9
hex9785a0

9930144 has 72 divisors (see below), whose sum is σ = 30336768. Its totient is φ = 2835840.

The previous prime is 9930143. The next prime is 9930169. The reversal of 9930144 is 4410399.

It is not an unprimeable number, because it can be changed into a prime (9930143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3649 + ... + 5759.

It is an arithmetic number, because the mean of its divisors is an integer number (421344).

Almost surely, 29930144 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 9930144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15168384).

9930144 is an abundant number, since it is smaller than the sum of its proper divisors (20406624).

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

9930144 is a wasteful number, since it uses less digits than its factorization.

9930144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2138 (or 2123 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 9930144 is about 3151.2130997443. The cubic root of 9930144 is about 214.9406290005.

The spelling of 9930144 in words is "nine million, nine hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 588 672 784 1176 1568 2111 2352 4222 4704 6333 8444 12666 14777 16888 25332 29554 33776 44331 50664 59108 67552 88662 101328 103439 118216 177324 202656 206878 236432 310317 354648 413756 472864 620634 709296 827512 1241268 1418592 1655024 2482536 3310048 4965072 9930144