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9913120 = 255753167
BaseRepresentation
bin100101110100…
…001100100000
3200122122020121
4211310030200
510014204440
6552250024
7150155140
oct45641440
920578217
109913120
115660968
1233a0914
132091169
141460920
15d0c34a
hex974320

9913120 has 96 divisors (see below), whose sum is σ = 27433728. Its totient is φ = 3314688.

The previous prime is 9913097. The next prime is 9913129. The reversal of 9913120 is 213199.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (9913129) 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, 59277 + ... + 59443.

It is an arithmetic number, because the mean of its divisors is an integer number (285768).

Almost surely, 29913120 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 9913120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13716864).

9913120 is an abundant number, since it is smaller than the sum of its proper divisors (17520608).

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

9913120 is a wasteful number, since it uses less digits than its factorization.

9913120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 25.

The square root of 9913120 is about 3148.5107590732. The cubic root of 9913120 is about 214.8177290602.

The spelling of 9913120 in words is "nine million, nine hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 53 56 70 80 106 112 140 160 167 212 224 265 280 334 371 424 530 560 668 742 835 848 1060 1120 1169 1336 1484 1670 1696 1855 2120 2338 2672 2968 3340 3710 4240 4676 5344 5845 5936 6680 7420 8480 8851 9352 11690 11872 13360 14840 17702 18704 23380 26720 29680 35404 37408 44255 46760 59360 61957 70808 88510 93520 123914 141616 177020 187040 247828 283232 309785 354040 495656 619570 708080 991312 1239140 1416160 1982624 2478280 4956560 9913120