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13807944 = 23321729389
BaseRepresentation
bin110100101011…
…000101001000
3221222111221100
4310223011020
512013323234
61211541400
7225236253
oct64530510
927874840
1013807944
117881127
12475a860
132b25ba7
141b9609a
15132b399
hexd2b148

13807944 has 96 divisors (see below), whose sum is σ = 41067000. Its totient is φ = 4171776.

The previous prime is 13807909. The next prime is 13807949. The reversal of 13807944 is 44970831.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 11985444 + 1822500 = 3462^2 + 1350^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 13807899 and 13807908.

It is not an unprimeable number, because it can be changed into a prime (13807949) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35302 + ... + 35690.

Almost surely, 213807944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13807944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20533500).

13807944 is an abundant number, since it is smaller than the sum of its proper divisors (27259056).

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

13807944 is a wasteful number, since it uses less digits than its factorization.

13807944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 13807944 is about 3715.9041968275. The cubic root of 13807944 is about 239.9070473372.

The spelling of 13807944 in words is "thirteen million, eight hundred seven thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 29 34 36 51 58 68 72 87 102 116 136 153 174 204 232 261 306 348 389 408 493 522 612 696 778 986 1044 1167 1224 1479 1556 1972 2088 2334 2958 3112 3501 3944 4437 4668 5916 6613 7002 8874 9336 11281 11832 13226 14004 17748 19839 22562 26452 28008 33843 35496 39678 45124 52904 59517 67686 79356 90248 101529 119034 135372 158712 191777 203058 238068 270744 383554 406116 476136 575331 767108 812232 1150662 1534216 1725993 2301324 3451986 4602648 6903972 13807944