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14920152 = 23313172997
BaseRepresentation
bin111000111010…
…100111011000
31001002000121020
4320322213120
512304421102
61251442440
7240550662
oct70724730
931060536
1014920152
118470805
124bb6420
1331251c0
141da5532
15149abbc
hexe3a9d8

14920152 has 128 divisors (see below), whose sum is σ = 44452800. Its totient is φ = 4128768.

The previous prime is 14920151. The next prime is 14920201. The reversal of 14920152 is 25102941.

It is a super-2 number, since 2×149201522 = 445221871406208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14920151) 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 31 ways as a sum of consecutive naturals, for example, 153768 + ... + 153864.

Almost surely, 214920152 is an apocalyptic number.

14920152 is a gapful number since it is divisible by the number (12) 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 14920152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22226400).

14920152 is an abundant number, since it is smaller than the sum of its proper divisors (29532648).

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

14920152 is a wasteful number, since it uses less digits than its factorization.

14920152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 14920152 is about 3862.6612587697. The cubic root of 14920152 is about 246.1828239723.

It can be divided in two parts, 149 and 20152, that added together give a triangular number (20301 = T201).

The spelling of 14920152 in words is "fourteen million, nine hundred twenty thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 17 24 26 29 34 39 51 52 58 68 78 87 97 102 104 116 136 156 174 194 204 221 232 291 312 348 377 388 408 442 493 582 663 696 754 776 884 986 1131 1164 1261 1326 1479 1508 1649 1768 1972 2262 2328 2522 2652 2813 2958 3016 3298 3783 3944 4524 4947 5044 5304 5626 5916 6409 6596 7566 8439 9048 9894 10088 11252 11832 12818 13192 15132 16878 19227 19788 21437 22504 25636 30264 33756 36569 38454 39576 42874 47821 51272 64311 67512 73138 76908 85748 95642 109707 128622 143463 146276 153816 171496 191284 219414 257244 286926 292552 382568 438828 514488 573852 621673 877656 1147704 1243346 1865019 2486692 3730038 4973384 7460076 14920152