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13293930 = 2351389383
BaseRepresentation
bin110010101101…
…100101101010
3221000101211210
4302231211222
511400401210
61152533550
7220665546
oct62554552
927011753
1013293930
11755aa21
1245512b6
1329a5c40
141aa0a26
151278e20
hexcad96a

13293930 has 64 divisors (see below), whose sum is σ = 34836480. Its totient is φ = 3227136.

The previous prime is 13293893. The next prime is 13293971. The reversal of 13293930 is 3939231.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34519 + ... + 34901.

It is an arithmetic number, because the mean of its divisors is an integer number (544320).

Almost surely, 213293930 is an apocalyptic number.

13293930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13293930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17418240).

13293930 is an abundant number, since it is smaller than the sum of its proper divisors (21542550).

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

13293930 is a wasteful number, since it uses less digits than its factorization.

13293930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495.

The product of its (nonzero) digits is 4374, while the sum is 30.

The square root of 13293930 is about 3646.0842008928. The cubic root of 13293930 is about 236.8924007286.

The spelling of 13293930 in words is "thirteen million, two hundred ninety-three thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 89 130 178 195 267 383 390 445 534 766 890 1149 1157 1335 1915 2298 2314 2670 3471 3830 4979 5745 5785 6942 9958 11490 11570 14937 17355 24895 29874 34087 34710 49790 68174 74685 102261 149370 170435 204522 340870 443131 511305 886262 1022610 1329393 2215655 2658786 4431310 6646965 13293930