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14920920 = 23325731191
BaseRepresentation
bin111000111010…
…110011011000
31001002001122200
4320322303120
512304432140
61251450200
7240553140
oct70726330
931061580
1014920920
118471343
124bb6960
133125661
141da5920
15149b030
hexe3acd8

14920920 has 192 divisors, whose sum is σ = 57507840. Its totient is φ = 3283200.

The previous prime is 14920897. The next prime is 14920921. The reversal of 14920920 is 2902941.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14920921) 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 47 ways as a sum of consecutive naturals, for example, 78025 + ... + 78215.

It is an arithmetic number, because the mean of its divisors is an integer number (299520).

Almost surely, 214920920 is an apocalyptic number.

14920920 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 14920920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28753920).

14920920 is an abundant number, since it is smaller than the sum of its proper divisors (42586920).

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

14920920 is a wasteful number, since it uses less digits than its factorization.

14920920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 14920920 is about 3862.7606708156. The cubic root of 14920920 is about 246.1870479053.

The spelling of 14920920 in words is "fourteen million, nine hundred twenty thousand, nine hundred twenty".