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152908668 = 223311211701
BaseRepresentation
bin10010001110100…
…11001101111100
3101122201120021000
421013103031330
5303121034133
623101210300
73534462603
oct1107231574
9348646230
10152908668
1179349600
1243260990
13258a9b03
1416444a3a
15d656413
hex91d337c

152908668 has 72 divisors (see below), whose sum is σ = 435782480. Its totient is φ = 46332000.

The previous prime is 152908663. The next prime is 152908681. The reversal of 152908668 is 866809251.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152908663) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7218 + ... + 18918.

Almost surely, 2152908668 is an apocalyptic number.

152908668 is a gapful number since it is divisible by the number (18) 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 152908668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217891240).

152908668 is an abundant number, since it is smaller than the sum of its proper divisors (282873812).

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

152908668 is a wasteful number, since it uses less digits than its factorization.

152908668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11736 (or 11717 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 152908668 is about 12365.6244484458. The cubic root of 152908668 is about 534.7416786511.

The spelling of 152908668 in words is "one hundred fifty-two million, nine hundred eight thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 121 132 198 242 297 363 396 484 594 726 1089 1188 1452 2178 3267 4356 6534 11701 13068 23402 35103 46804 70206 105309 128711 140412 210618 257422 315927 386133 421236 514844 631854 772266 1158399 1263708 1415821 1544532 2316798 2831642 3475197 4247463 4633596 5663284 6950394 8494926 12742389 13900788 16989852 25484778 38227167 50969556 76454334 152908668