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153380808 = 23327319817
BaseRepresentation
bin10010010010001…
…10011111001000
3101200121112220200
421021012133020
5303231141213
623115252200
73541500240
oct1111063710
9350545820
10153380808
11796412a9
124344a060
1325a13999
1416528b20
15d6eb273
hex92467c8

153380808 has 96 divisors (see below), whose sum is σ = 490114560. Its totient is φ = 42405120.

The previous prime is 153380789. The next prime is 153380809. The reversal of 153380808 is 808083351.

It is a happy number.

153380808 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (153380809) 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, 10716 + ... + 20532.

It is an arithmetic number, because the mean of its divisors is an integer number (5105360).

Almost surely, 2153380808 is an apocalyptic number.

153380808 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 153380808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245057280).

153380808 is an abundant number, since it is smaller than the sum of its proper divisors (336733752).

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

153380808 is a wasteful number, since it uses less digits than its factorization.

153380808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9867 (or 9860 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 153380808 is about 12384.7005615800. The cubic root of 153380808 is about 535.2914916617.

The spelling of 153380808 in words is "one hundred fifty-three million, three hundred eighty thousand, eight hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 31 36 42 56 62 63 72 84 93 124 126 168 186 217 248 252 279 372 434 504 558 651 744 868 1116 1302 1736 1953 2232 2604 3906 5208 7812 9817 15624 19634 29451 39268 58902 68719 78536 88353 117804 137438 176706 206157 235608 274876 304327 353412 412314 549752 608654 618471 706824 824628 912981 1217308 1236942 1649256 1825962 2130289 2434616 2473884 2738943 3651924 4260578 4947768 5477886 6390867 7303848 8521156 10955772 12781734 17042312 19172601 21911544 25563468 38345202 51126936 76690404 153380808