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14746680 = 233251323137
BaseRepresentation
bin111000010000…
…010000111000
31000202012122100
4320100100320
512233343210
61244023400
7236226144
oct70202070
930665570
1014746680
118362443
124b31b60
133094260
141d5c224
1514645c0
hexe10438

14746680 has 192 divisors, whose sum is σ = 54250560. Its totient is φ = 3446784.

The previous prime is 14746661. The next prime is 14746691. The reversal of 14746680 is 8664741.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 107572 + ... + 107708.

It is an arithmetic number, because the mean of its divisors is an integer number (282555).

Almost surely, 214746680 is an apocalyptic number.

14746680 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 14746680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27125280).

14746680 is an abundant number, since it is smaller than the sum of its proper divisors (39503880).

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

14746680 is a wasteful number, since it uses less digits than its factorization.

14746680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 14746680 is about 3840.1406224252. The cubic root of 14746680 is about 245.2250050122.

The spelling of 14746680 in words is "fourteen million, seven hundred forty-six thousand, six hundred eighty".