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14748960 = 253530727
BaseRepresentation
bin111000010000…
…110100100000
31000202022202210
4320100310200
512233431320
61244042120
7236235612
oct70206440
930668683
1014748960
118364126
124b33340
1330952c5
141d5cdb2
1514650e0
hexe10d20

14748960 has 48 divisors (see below), whose sum is σ = 46460736. Its totient is φ = 3932928.

The previous prime is 14748931. The next prime is 14748967. The reversal of 14748960 is 6984741.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14748967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14884 + ... + 15843.

It is an arithmetic number, because the mean of its divisors is an integer number (967932).

Almost surely, 214748960 is an apocalyptic number.

14748960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14748960 is an abundant number, since it is smaller than the sum of its proper divisors (31711776).

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

14748960 is a wasteful number, since it uses less digits than its factorization.

14748960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30745 (or 30737 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 14748960 is about 3840.4374750802. The cubic root of 14748960 is about 245.2376425279.

The spelling of 14748960 in words is "fourteen million, seven hundred forty-eight thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 30727 61454 92181 122908 153635 184362 245816 307270 368724 460905 491632 614540 737448 921810 983264 1229080 1474896 1843620 2458160 2949792 3687240 4916320 7374480 14748960