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13959972 = 22331361163
BaseRepresentation
bin110101010000…
…001100100100
3222021020111000
4311100030210
512033204342
61215113300
7226441425
oct65201444
928236430
1013959972
117975374
124812830
132b7a150
141bd564c
15135b44c
hexd50324

13959972 has 96 divisors (see below), whose sum is σ = 39858560. Its totient is φ = 4199040.

The previous prime is 13959961. The next prime is 13959973. The reversal of 13959972 is 27995931.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (13959973) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85563 + ... + 85725.

Almost surely, 213959972 is an apocalyptic number.

13959972 is a gapful number since it is divisible by the number (12) 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 13959972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19929280).

13959972 is an abundant number, since it is smaller than the sum of its proper divisors (25898588).

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

13959972 is a wasteful number, since it uses less digits than its factorization.

13959972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 242 counting only the distinct ones).

The product of its digits is 153090, while the sum is 45.

The square root of 13959972 is about 3736.3045914379. The cubic root of 13959972 is about 240.7843091213.

The spelling of 13959972 in words is "thirteen million, nine hundred fifty-nine thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 61 78 108 117 122 156 163 183 234 244 326 351 366 468 489 549 652 702 732 793 978 1098 1404 1467 1586 1647 1956 2119 2196 2379 2934 3172 3294 4238 4401 4758 5868 6357 6588 7137 8476 8802 9516 9943 12714 14274 17604 19071 19886 21411 25428 28548 29829 38142 39772 42822 57213 59658 76284 85644 89487 114426 119316 129259 178974 228852 258518 268461 357948 387777 517036 536922 775554 1073844 1163331 1551108 2326662 3489993 4653324 6979986 13959972