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14657040 = 2432520357
BaseRepresentation
bin110111111010…
…011000010000
31000120122200100
4313322120100
512223011130
61242052400
7235403616
oct67723020
930518610
1014657040
118301062
124aaa100
133062508
141d376b6
151447c60
hexdfa610

14657040 has 60 divisors (see below), whose sum is σ = 49225644. Its totient is φ = 3908352.

The previous prime is 14657029. The next prime is 14657051. The reversal of 14657040 is 4075641.

14657040 is a `hidden beast` number, since 1 + 4 + 657 + 0 + 4 + 0 = 666.

14657040 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14657029) and next prime (14657051).

It can be written as a sum of positive squares in 2 ways, for example, as 6906384 + 7750656 = 2628^2 + 2784^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 14656995 and 14657013.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9459 + ... + 10898.

Almost surely, 214657040 is an apocalyptic number.

14657040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14657040 is an abundant number, since it is smaller than the sum of its proper divisors (34568604).

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

14657040 is a wasteful number, since it uses less digits than its factorization.

14657040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20376 (or 20367 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 14657040 is about 3828.4513840455. The cubic root of 14657040 is about 244.7271153007.

The spelling of 14657040 in words is "fourteen million, six hundred fifty-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 20357 40714 61071 81428 101785 122142 162856 183213 203570 244284 305355 325712 366426 407140 488568 610710 732852 814280 916065 977136 1221420 1465704 1628560 1832130 2442840 2931408 3664260 4885680 7328520 14657040