Search a number
-
+
155955240 = 2333573421
BaseRepresentation
bin10010100101110…
…11000000101000
3101212110100101000
421102323000220
5304411031430
623250355000
73602412000
oct1122730050
9355410330
10155955240
118003a531
124428ba60
132640570c
14169d9000
15da58e60
hex94bb028

155955240 has 256 divisors, whose sum is σ = 607680000. Its totient is φ = 35562240.

The previous prime is 155955221. The next prime is 155955251. The reversal of 155955240 is 42559551.

155955240 is a `hidden beast` number, since 15 + 59 + 552 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 155955195 and 155955204.

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 63 ways as a sum of consecutive naturals, for example, 370230 + ... + 370650.

It is an arithmetic number, because the mean of its divisors is an integer number (2373750).

Almost surely, 2155955240 is an apocalyptic number.

155955240 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 155955240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303840000).

155955240 is an abundant number, since it is smaller than the sum of its proper divisors (451724760).

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

155955240 is a wasteful number, since it uses less digits than its factorization.

155955240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 36.

The square root of 155955240 is about 12488.2040342076. The cubic root of 155955240 is about 538.2697706863.

The spelling of 155955240 in words is "one hundred fifty-five million, nine hundred fifty-five thousand, two hundred forty".