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155152160 = 2551019601
BaseRepresentation
bin10010011111101…
…10111100100000
3101210221112202022
421033312330200
5304204332120
623221241012
73562525442
oct1117667440
9353845668
10155152160
117a641129
1243b63168
13261b4017
141686a492
15d94b025
hex93f6f20

155152160 has 48 divisors (see below), whose sum is σ = 370214712. Its totient is φ = 61440000.

The previous prime is 155152133. The next prime is 155152169. The reversal of 155152160 is 61251551.

It can be written as a sum of positive squares in 4 ways, for example, as 155052304 + 99856 = 12452^2 + 316^2 .

It is not an unprimeable number, because it can be changed into a prime (155152169) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11360 + ... + 20960.

Almost surely, 2155152160 is an apocalyptic number.

155152160 is a gapful number since it is divisible by the number (10) 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 155152160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185107356).

155152160 is an abundant number, since it is smaller than the sum of its proper divisors (215062552).

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

155152160 is a wasteful number, since it uses less digits than its factorization.

155152160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9717 (or 9709 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 26.

The square root of 155152160 is about 12456.0089916474. The cubic root of 155152160 is about 537.3442534148.

The spelling of 155152160 in words is "one hundred fifty-five million, one hundred fifty-two thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 101 160 202 404 505 808 1010 1616 2020 3232 4040 8080 9601 16160 19202 38404 48005 76808 96010 153616 192020 307232 384040 768080 969701 1536160 1939402 3878804 4848505 7757608 9697010 15515216 19394020 31030432 38788040 77576080 155152160