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13695048 = 2333194771
BaseRepresentation
bin110100001111…
…100001001000
3221202210002000
4310033201020
512001220143
61205311000
7224256153
oct64174110
927683060
1013695048
117804324
124705460
132ab66a3
141b66c9a
151307bd3
hexd0f848

13695048 has 128 divisors (see below), whose sum is σ = 41472000. Its totient is φ = 4173120.

The previous prime is 13695043. The next prime is 13695079. The reversal of 13695048 is 84059631.

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

It is not an unprimeable number, because it can be changed into a prime (13695043) 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, 192853 + ... + 192923.

It is an arithmetic number, because the mean of its divisors is an integer number (324000).

Almost surely, 213695048 is an apocalyptic number.

13695048 is a gapful number since it is divisible by the number (18) 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 13695048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20736000).

13695048 is an abundant number, since it is smaller than the sum of its proper divisors (27776952).

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

13695048 is a wasteful number, since it uses less digits than its factorization.

13695048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 13695048 is about 3700.6820992893. The cubic root of 13695048 is about 239.2514175288.

The spelling of 13695048 in words is "thirteen million, six hundred ninety-five thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 47 54 57 71 72 76 94 108 114 141 142 152 171 188 213 216 228 282 284 342 376 423 426 456 513 564 568 639 684 846 852 893 1026 1128 1269 1278 1349 1368 1692 1704 1786 1917 2052 2538 2556 2679 2698 3337 3384 3572 3834 4047 4104 5076 5112 5358 5396 6674 7144 7668 8037 8094 10011 10152 10716 10792 12141 13348 15336 16074 16188 20022 21432 24111 24282 26696 30033 32148 32376 36423 40044 48222 48564 60066 63403 64296 72846 80088 90099 96444 97128 120132 126806 145692 180198 190209 192888 240264 253612 291384 360396 380418 507224 570627 720792 760836 1141254 1521672 1711881 2282508 3423762 4565016 6847524 13695048