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13924980 = 22335107241
BaseRepresentation
bin110101000111…
…101001110100
3222012110111000
4311013221310
512031044410
61214243300
7226234416
oct65075164
928173430
1013924980
117951053
1247b6530
132b67244
141bc69b6
151350dc0
hexd47a74

13924980 has 96 divisors (see below), whose sum is σ = 43908480. Its totient is φ = 3663360.

The previous prime is 13924957. The next prime is 13924997. The reversal of 13924980 is 8942931.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 57660 + ... + 57900.

It is an arithmetic number, because the mean of its divisors is an integer number (457380).

Almost surely, 213924980 is an apocalyptic number.

13924980 is a gapful number since it is divisible by the number (10) 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 13924980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21954240).

13924980 is an abundant number, since it is smaller than the sum of its proper divisors (29983500).

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

13924980 is a wasteful number, since it uses less digits than its factorization.

13924980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 13924980 is about 3731.6189516080. The cubic root of 13924980 is about 240.5829578541.

The spelling of 13924980 in words is "thirteen million, nine hundred twenty-four thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 107 108 135 180 214 241 270 321 428 482 535 540 642 723 963 964 1070 1205 1284 1446 1605 1926 2140 2169 2410 2889 2892 3210 3615 3852 4338 4815 4820 5778 6420 6507 7230 8676 9630 10845 11556 13014 14445 14460 19260 21690 25787 26028 28890 32535 43380 51574 57780 65070 77361 103148 128935 130140 154722 232083 257870 309444 386805 464166 515740 696249 773610 928332 1160415 1392498 1547220 2320830 2784996 3481245 4641660 6962490 13924980