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14697072 = 2433132617
BaseRepresentation
bin111000000100…
…001001110000
31000122200121000
4320010021300
512230301242
61243002000
7235631415
oct70041160
930580530
1014697072
118329145
124b09300
1330777c0
141d4810c
151454a4c
hexe04270

14697072 has 80 divisors (see below), whose sum is σ = 45448480. Its totient is φ = 4520448.

The previous prime is 14697043. The next prime is 14697073. The reversal of 14697072 is 27079641.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14697073) 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, 4308 + ... + 6924.

It is an arithmetic number, because the mean of its divisors is an integer number (568106).

Almost surely, 214697072 is an apocalyptic number.

14697072 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 14697072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22724240).

14697072 is an abundant number, since it is smaller than the sum of its proper divisors (30751408).

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

14697072 is a wasteful number, since it uses less digits than its factorization.

14697072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2647 (or 2635 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 14697072 is about 3833.6760426515. The cubic root of 14697072 is about 244.9497161833.

The spelling of 14697072 in words is "fourteen million, six hundred ninety-seven thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 208 216 234 312 351 432 468 624 702 936 1404 1872 2617 2808 5234 5616 7851 10468 15702 20936 23553 31404 34021 41872 47106 62808 68042 70659 94212 102063 125616 136084 141318 188424 204126 272168 282636 306189 376848 408252 544336 565272 612378 816504 918567 1130544 1224756 1633008 1837134 2449512 3674268 4899024 7348536 14697072