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14894880 = 25357111331
BaseRepresentation
bin111000110100…
…011100100000
31001000201221020
4320310130200
512303114010
61251125440
7240414210
oct70643440
931021836
1014894880
118453820
124ba3880
133116850
141d9a240
151493470
hexe34720

14894880 has 384 divisors, whose sum is σ = 65028096. Its totient is φ = 2764800.

The previous prime is 14894861. The next prime is 14894903. The reversal of 14894880 is 8849841.

14894880 = T169 + T170 + ... + T454.

It is a super-5 number, since 5×148948805 (a number of 37 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 480465 + ... + 480495.

It is an arithmetic number, because the mean of its divisors is an integer number (169344).

Almost surely, 214894880 is an apocalyptic number.

14894880 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 14894880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32514048).

14894880 is an abundant number, since it is smaller than the sum of its proper divisors (50133216).

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

14894880 is a wasteful number, since it uses less digits than its factorization.

14894880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The square root of 14894880 is about 3859.3885526078. The cubic root of 14894880 is about 246.0437492420.

The spelling of 14894880 in words is "fourteen million, eight hundred ninety-four thousand, eight hundred eighty".