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14913640 = 235731087
BaseRepresentation
bin111000111001…
…000001101000
31001001200200001
4320321001220
512304214030
61251352344
7240523000
oct70710150
931050601
1014913640
118466925
124bb26b4
133122251
141da3000
151498cca
hexe39068

14913640 has 64 divisors (see below), whose sum is σ = 39168000. Its totient is φ = 5108544.

The previous prime is 14913611. The next prime is 14913643. The reversal of 14913640 is 4631941.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 14913599 and 14913608.

It is not an unprimeable number, because it can be changed into a prime (14913643) 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, 13177 + ... + 14263.

It is an arithmetic number, because the mean of its divisors is an integer number (612000).

Almost surely, 214913640 is an apocalyptic number.

14913640 is a gapful number since it is divisible by the number (10) 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 14913640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19584000).

14913640 is an abundant number, since it is smaller than the sum of its proper divisors (24254360).

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

14913640 is a wasteful number, since it uses less digits than its factorization.

14913640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1119 (or 1101 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 14913640 is about 3861.8182246191. The cubic root of 14913640 is about 246.1470027144.

The spelling of 14913640 in words is "fourteen million, nine hundred thirteen thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 343 392 490 686 980 1087 1372 1715 1960 2174 2744 3430 4348 5435 6860 7609 8696 10870 13720 15218 21740 30436 38045 43480 53263 60872 76090 106526 152180 213052 266315 304360 372841 426104 532630 745682 1065260 1491364 1864205 2130520 2982728 3728410 7456820 14913640