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13115472 = 2431973197
BaseRepresentation
bin110010000010…
…000001010000
3220200100001020
4302002001100
511324143342
61145035440
7216323346
oct62020120
926610036
1013115472
117448937
124485b80
132942946
141a55996
1512410ec
hexc82050

13115472 has 80 divisors (see below), whose sum is σ = 36336960. Its totient is φ = 4064256.

The previous prime is 13115471. The next prime is 13115477. The reversal of 13115472 is 27451131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13115471) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66478 + ... + 66674.

It is an arithmetic number, because the mean of its divisors is an integer number (454212).

Almost surely, 213115472 is an apocalyptic number.

13115472 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 13115472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18168480).

13115472 is an abundant number, since it is smaller than the sum of its proper divisors (23221488).

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

13115472 is a wasteful number, since it uses less digits than its factorization.

13115472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 294 counting only the distinct ones).

The product of its digits is 840, while the sum is 24.

The square root of 13115472 is about 3621.5289588791. The cubic root of 13115472 is about 235.8276055940.

The spelling of 13115472 in words is "thirteen million, one hundred fifteen thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 73 76 114 146 152 197 219 228 292 304 394 438 456 584 591 788 876 912 1168 1182 1387 1576 1752 2364 2774 3152 3504 3743 4161 4728 5548 7486 8322 9456 11096 11229 14381 14972 16644 22192 22458 28762 29944 33288 43143 44916 57524 59888 66576 86286 89832 115048 172572 179664 230096 273239 345144 546478 690288 819717 1092956 1639434 2185912 3278868 4371824 6557736 13115472