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154114272 = 25331313721
BaseRepresentation
bin10010010111110…
…01100011100000
3101201222211001000
421023321203200
5303423124042
623143112000
73550643514
oct1113714340
9351884030
10154114272
1179aa2374
1243742600
1325c0c7a0
141667a144
15d7e374c
hex92f98e0

154114272 has 96 divisors (see below), whose sum is σ = 484112160. Its totient is φ = 47416320.

The previous prime is 154114267. The next prime is 154114273. The reversal of 154114272 is 272411451.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (154114273) 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 15 ways as a sum of consecutive naturals, for example, 4372 + ... + 18092.

It is an arithmetic number, because the mean of its divisors is an integer number (5042835).

Almost surely, 2154114272 is an apocalyptic number.

154114272 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 154114272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242056080).

154114272 is an abundant number, since it is smaller than the sum of its proper divisors (329997888).

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

154114272 is a wasteful number, since it uses less digits than its factorization.

154114272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13753 (or 13739 counting only the distinct ones).

The product of its digits is 2240, while the sum is 27.

The square root of 154114272 is about 12414.2769422951. The cubic root of 154114272 is about 536.1433863068.

It can be divided in two parts, 15411 and 4272, that added together give a 9-th power (19683 = 39).

The spelling of 154114272 in words is "one hundred fifty-four million, one hundred fourteen thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 96 104 108 117 144 156 208 216 234 288 312 351 416 432 468 624 702 864 936 1248 1404 1872 2808 3744 5616 11232 13721 27442 41163 54884 82326 109768 123489 164652 178373 219536 246978 329304 356746 370467 439072 493956 535119 658608 713492 740934 987912 1070238 1317216 1426984 1481868 1605357 1975824 2140476 2853968 2963736 3210714 3951648 4280952 4816071 5707936 5927472 6421428 8561904 9632142 11854944 12842856 17123808 19264284 25685712 38528568 51371424 77057136 154114272