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14920500 = 223537329
BaseRepresentation
bin111000111010…
…101100110100
31001002001002010
4320322230310
512304424000
61251444220
7240552000
oct70725464
931061063
1014920500
118470aa1
124bb6670
1331253ca
141da5700
15149ad50
hexe3ab34

14920500 has 192 divisors, whose sum is σ = 52416000. Its totient is φ = 3292800.

The previous prime is 14920469. The next prime is 14920501. The reversal of 14920500 is 502941.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14920501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 514486 + ... + 514514.

It is an arithmetic number, because the mean of its divisors is an integer number (273000).

Almost surely, 214920500 is an apocalyptic number.

14920500 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 14920500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26208000).

14920500 is an abundant number, since it is smaller than the sum of its proper divisors (37495500).

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

14920500 is a wasteful number, since it uses less digits than its factorization.

14920500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 14920500 is about 3862.7063051700. The cubic root of 14920500 is about 246.1847379599.

The spelling of 14920500 in words is "fourteen million, nine hundred twenty thousand, five hundred".