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13967424 = 263359137
BaseRepresentation
bin110101010010…
…000001000000
3222021121201000
4311102001000
512033424144
61215212000
7226502232
oct65220100
928247630
1013967424
11797aa29
124817000
132b80663
141bd8252
15135d769
hexd52040

13967424 has 112 divisors (see below), whose sum is σ = 42062400. Its totient is φ = 4543488.

The previous prime is 13967419. The next prime is 13967431. The reversal of 13967424 is 42476931.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101884 + ... + 102020.

Almost surely, 213967424 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 13967424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21031200).

13967424 is an abundant number, since it is smaller than the sum of its proper divisors (28094976).

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

13967424 is a wasteful number, since it uses less digits than its factorization.

13967424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 201 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 13967424 is about 3737.3017004251. The cubic root of 13967424 is about 240.8271460145.

The spelling of 13967424 in words is "thirteen million, nine hundred sixty-seven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 59 64 72 96 108 118 137 144 177 192 216 236 274 288 354 411 432 472 531 548 576 708 822 864 944 1062 1096 1233 1416 1593 1644 1728 1888 2124 2192 2466 2832 3186 3288 3699 3776 4248 4384 4932 5664 6372 6576 7398 8083 8496 8768 9864 11328 12744 13152 14796 16166 16992 19728 24249 25488 26304 29592 32332 33984 39456 48498 50976 59184 64664 72747 78912 96996 101952 118368 129328 145494 193992 218241 236736 258656 290988 387984 436482 517312 581976 775968 872964 1163952 1551936 1745928 2327904 3491856 4655808 6983712 13967424