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14913540 = 22325292857
BaseRepresentation
bin111000111001…
…000000000100
31001001200112100
4320321000010
512304213130
61251352100
7240522465
oct70710004
931050470
1014913540
118466844
124bb2630
1331221a5
141da2d6c
151498c60
hexe39004

14913540 has 72 divisors (see below), whose sum is σ = 46814040. Its totient is φ = 3838464.

The previous prime is 14913533. The next prime is 14913557. The reversal of 14913540 is 4531941.

It can be written as a sum of positive squares in 4 ways, for example, as 2509056 + 12404484 = 1584^2 + 3522^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3792 + ... + 6648.

It is an arithmetic number, because the mean of its divisors is an integer number (650195).

Almost surely, 214913540 is an apocalyptic number.

14913540 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 14913540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23407020).

14913540 is an abundant number, since it is smaller than the sum of its proper divisors (31900500).

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

14913540 is a wasteful number, since it uses less digits than its factorization.

14913540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2901 (or 2896 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 14913540 is about 3861.8052773282. The cubic root of 14913540 is about 246.1464525524.

It can be divided in two parts, 149 and 13540, that added together give a square (13689 = 1172).

The spelling of 14913540 in words is "fourteen million, nine hundred thirteen thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 522 580 870 1044 1305 1740 2610 2857 5220 5714 8571 11428 14285 17142 25713 28570 34284 42855 51426 57140 82853 85710 102852 128565 165706 171420 248559 257130 331412 414265 497118 514260 745677 828530 994236 1242795 1491354 1657060 2485590 2982708 3728385 4971180 7456770 14913540