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14690976 = 253199769
BaseRepresentation
bin111000000010…
…101010100000
31000122101020020
4320002222200
512230102401
61242513440
7235604556
oct70025240
930571206
1014690976
118324603
124b05880
133074ab1
141d45bd6
151452d36
hexe02aa0

14690976 has 48 divisors (see below), whose sum is σ = 38808000. Its totient is φ = 4866048.

The previous prime is 14690969. The next prime is 14690999. The reversal of 14690976 is 67909641.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18720 + ... + 19488.

It is an arithmetic number, because the mean of its divisors is an integer number (808500).

Almost surely, 214690976 is an apocalyptic number.

14690976 is a gapful number since it is divisible by the number (16) 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 14690976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19404000).

14690976 is an abundant number, since it is smaller than the sum of its proper divisors (24117024).

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

14690976 is a wasteful number, since it uses less digits than its factorization.

14690976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 981 (or 973 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The square root of 14690976 is about 3832.8809008369. The cubic root of 14690976 is about 244.9158450384.

The spelling of 14690976 in words is "fourteen million, six hundred ninety thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 199 398 597 769 796 1194 1538 1592 2307 2388 3076 3184 4614 4776 6152 6368 9228 9552 12304 18456 19104 24608 36912 73824 153031 306062 459093 612124 918186 1224248 1836372 2448496 3672744 4896992 7345488 14690976