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153106905 = 35713111131
BaseRepresentation
bin10010010000000…
…11100111011001
3101200002122012010
421020003213121
5303143410110
623105340133
73536246550
oct1110034731
9350078163
10153106905
1179474536
1243337649
1325949103
1416496d97
15d695020
hex92039d9

153106905 has 32 divisors (see below), whose sum is σ = 282129408. Its totient is φ = 69451200.

The previous prime is 153106901. The next prime is 153106907. The reversal of 153106905 is 509601351.

It is not a de Polignac number, because 153106905 - 22 = 153106901 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (153106901) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8190 + ... + 19320.

It is an arithmetic number, because the mean of its divisors is an integer number (8816544).

Almost surely, 2153106905 is an apocalyptic number.

153106905 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

153106905 is a deficient number, since it is larger than the sum of its proper divisors (129022503).

153106905 is a wasteful number, since it uses less digits than its factorization.

153106905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11277.

The product of its (nonzero) digits is 4050, while the sum is 30.

The square root of 153106905 is about 12373.6375007513. The cubic root of 153106905 is about 534.9726657942.

The spelling of 153106905 in words is "one hundred fifty-three million, one hundred six thousand, nine hundred five".

Divisors: 1 3 5 7 15 21 35 105 131 393 655 917 1965 2751 4585 11131 13755 33393 55655 77917 166965 233751 389585 1168755 1458161 4374483 7290805 10207127 21872415 30621381 51035635 153106905