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9913320 = 2333567137
BaseRepresentation
bin100101110100…
…001111101000
3200122122112000
4211310033220
510014211240
6552251000
7150155544
oct45641750
920578460
109913320
11566102a
1233a0a60
132091291
141460a24
15d0c430
hex9743e8

9913320 has 128 divisors (see below), whose sum is σ = 33782400. Its totient is φ = 2585088.

The previous prime is 9913297. The next prime is 9913333. The reversal of 9913320 is 233199.

9913320 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72292 + ... + 72428.

It is an arithmetic number, because the mean of its divisors is an integer number (263925).

Almost surely, 29913320 is an apocalyptic number.

9913320 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9913320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16891200).

9913320 is an abundant number, since it is smaller than the sum of its proper divisors (23869080).

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

9913320 is a wasteful number, since it uses less digits than its factorization.

9913320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 9913320 is about 3148.5425199606. The cubic root of 9913320 is about 214.8191737199.

The spelling of 9913320 in words is "nine million, nine hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 67 72 90 108 120 134 135 137 180 201 216 268 270 274 335 360 402 411 536 540 548 603 670 685 804 822 1005 1080 1096 1206 1233 1340 1370 1608 1644 1809 2010 2055 2412 2466 2680 2740 3015 3288 3618 3699 4020 4110 4824 4932 5480 6030 6165 7236 7398 8040 8220 9045 9179 9864 12060 12330 14472 14796 16440 18090 18358 18495 24120 24660 27537 29592 36180 36716 36990 45895 49320 55074 72360 73432 73980 82611 91790 110148 137685 147960 165222 183580 220296 247833 275370 330444 367160 413055 495666 550740 660888 826110 991332 1101480 1239165 1652220 1982664 2478330 3304440 4956660 9913320