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14923920 = 2435115653
BaseRepresentation
bin111000111011…
…100010010000
31001002012202210
4320323202100
512310031140
61251512120
7240564654
oct70734220
931065683
1014923920
118473620
124bb8640
133126b2b
141da6a64
15149bd80
hexe3b890

14923920 has 80 divisors (see below), whose sum is σ = 50478912. Its totient is φ = 3617280.

The previous prime is 14923903. The next prime is 14923921. The reversal of 14923920 is 2932941.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (14923921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 187 + ... + 5466.

Almost surely, 214923920 is an apocalyptic number.

14923920 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 14923920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25239456).

14923920 is an abundant number, since it is smaller than the sum of its proper divisors (35554992).

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

14923920 is a wasteful number, since it uses less digits than its factorization.

14923920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5680 (or 5674 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 14923920 is about 3863.1489746061. The cubic root of 14923920 is about 246.2035462546.

The spelling of 14923920 in words is "fourteen million, nine hundred twenty-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 5653 11306 16959 22612 28265 33918 45224 56530 62183 67836 84795 90448 113060 124366 135672 169590 186549 226120 248732 271344 310915 339180 373098 452240 497464 621830 678360 746196 932745 994928 1243660 1356720 1492392 1865490 2487320 2984784 3730980 4974640 7461960 14923920