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153336066 = 23132376167
BaseRepresentation
bin10010010001110…
…11100100000010
3101200112021112120
421020323210002
5303223223231
623114305110
73541222632
oct1110734402
9350467476
10153336066
1179610724
1243428196
13259c9500
14165166c2
15d6dcd96
hex923b902

153336066 has 96 divisors (see below), whose sum is σ = 351816768. Its totient is φ = 44478720.

The previous prime is 153335993. The next prime is 153336083. The reversal of 153336066 is 660633351.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2288565 + ... + 2288631.

It is an arithmetic number, because the mean of its divisors is an integer number (3664758).

Almost surely, 2153336066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153336066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175908384).

153336066 is an abundant number, since it is smaller than the sum of its proper divisors (198480702).

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

153336066 is a wasteful number, since it uses less digits than its factorization.

153336066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 33.

The square root of 153336066 is about 12382.8940882170. The cubic root of 153336066 is about 535.2394374718.

The spelling of 153336066 in words is "one hundred fifty-three million, three hundred thirty-six thousand, sixty-six".

Divisors: 1 2 3 6 13 26 37 39 61 67 74 78 111 122 134 169 183 201 222 338 366 402 481 507 793 871 962 1014 1443 1586 1742 2257 2379 2479 2613 2886 4087 4514 4758 4958 5226 6253 6771 7437 8174 10309 11323 12261 12506 13542 14874 18759 20618 22646 24522 29341 30927 32227 33969 37518 53131 58682 61854 64454 67938 88023 96681 106262 151219 159393 176046 193362 302438 318786 381433 418951 453657 690703 762866 837902 907314 1144299 1256853 1381406 1965847 2072109 2288598 2513706 3931694 4144218 5897541 11795082 25556011 51112022 76668033 153336066