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153300664 = 231119277331
BaseRepresentation
bin10010010001100…
…10111010111000
3101200110110222101
421020302322320
5303221110124
623113433144
73541014466
oct1110627270
9350413871
10153300664
1179597070
124340b7b4
13259b636a
1416507836
15d6d2644
hex9232eb8

153300664 has 64 divisors (see below), whose sum is σ = 332265600. Its totient is φ = 65577600.

The previous prime is 153300661. The next prime is 153300691. The reversal of 153300664 is 466003351.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153300661) 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, 462979 + ... + 463309.

It is an arithmetic number, because the mean of its divisors is an integer number (5191650).

Almost surely, 2153300664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153300664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166132800).

153300664 is an abundant number, since it is smaller than the sum of its proper divisors (178964936).

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

153300664 is a wasteful number, since it uses less digits than its factorization.

153300664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 28.

The square root of 153300664 is about 12381.4645337294. The cubic root of 153300664 is about 535.1982425429.

The spelling of 153300664 in words is "one hundred fifty-three million, three hundred thousand, six hundred sixty-four".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 152 209 277 331 418 554 662 836 1108 1324 1672 2216 2648 3047 3641 5263 6094 6289 7282 10526 12188 12578 14564 21052 24376 25156 29128 42104 50312 57893 69179 91687 115786 138358 183374 231572 276716 366748 463144 553432 733496 1008557 1742053 2017114 3484106 4034228 6968212 8068456 13936424 19162583 38325166 76650332 153300664