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13720972 = 22172331283
BaseRepresentation
bin110100010101…
…110110001100
3221211002122011
4310111312030
512003032342
61210031004
7224424556
oct64256614
927732564
1013720972
117821851
124718464
132ac5425
141b724d6
151310717
hexd15d8c

13720972 has 48 divisors (see below), whose sum is σ = 27482112. Its totient is φ = 5955840.

The previous prime is 13720933. The next prime is 13721033. The reversal of 13720972 is 27902731.

13720972 is digitally balanced in base 2, because in such base 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 (31).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48343 + ... + 48625.

It is an arithmetic number, because the mean of its divisors is an integer number (572544).

Almost surely, 213720972 is an apocalyptic number.

It is an amenable number.

13720972 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

13720972 is a wasteful number, since it uses less digits than its factorization.

13720972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 31.

The square root of 13720972 is about 3704.1830408337. The cubic root of 13720972 is about 239.4022857911.

Subtracting from 13720972 its sum of digits (31), we obtain a triangular number (13720941 = T5238).

The spelling of 13720972 in words is "thirteen million, seven hundred twenty thousand, nine hundred seventy-two".

Divisors: 1 2 4 17 23 31 34 46 62 68 92 124 283 391 527 566 713 782 1054 1132 1426 1564 2108 2852 4811 6509 8773 9622 12121 13018 17546 19244 24242 26036 35092 48484 110653 149141 201779 221306 298282 403558 442612 596564 807116 3430243 6860486 13720972