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14930496 = 263272232
BaseRepresentation
bin111000111101…
…001001000000
31001002112210100
4320331021000
512310233441
61252002400
7240623100
oct70751100
931075710
1014930496
118478559
125000400
133129b19
141da9200
15149dcb6
hexe3d240

14930496 has 189 divisors, whose sum is σ = 52041171. Its totient is φ = 4080384.

The previous prime is 14930491. The next prime is 14930507. The reversal of 14930496 is 69403941.

The square root of 14930496 is 3864.

It is a perfect power (a square), and thus also a powerful number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 14930496.

It is not an unprimeable number, because it can be changed into a prime (14930491) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 649141 + ... + 649163.

Almost surely, 214930496 is an apocalyptic number.

14930496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

14930496 is the 3864-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14930496

14930496 is an abundant number, since it is smaller than the sum of its proper divisors (37110675).

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

14930496 is a wasteful number, since it uses less digits than its factorization.

14930496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The cubic root of 14930496 is about 246.2397029028.

Multiplying 14930496 by its sum of digits (36), we get a square (537497856 = 231842).

14930496 divided by its sum of digits (36) gives a square (414736 = 6442).

The spelling of 14930496 in words is "fourteen million, nine hundred thirty thousand, four hundred ninety-six".