Search a number
-
+
155186064 = 243311172113
BaseRepresentation
bin10010011111111…
…11001110010000
3101211000021021000
421033333032100
5304211423224
623222102000
73563026335
oct1117771620
9354007230
10155186064
117a664650
1243b7a900
13261c6597
141687898c
15d9560c9
hex93ff390

155186064 has 240 divisors, whose sum is σ = 520770240. Its totient is φ = 43868160.

The previous prime is 155186051. The next prime is 155186111. The reversal of 155186064 is 460681551.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1373272 + ... + 1373384.

It is an arithmetic number, because the mean of its divisors is an integer number (2169876).

Almost surely, 2155186064 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 155186064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260385120).

155186064 is an abundant number, since it is smaller than the sum of its proper divisors (365584176).

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

155186064 is a wasteful number, since it uses less digits than its factorization.

155186064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 155186064 is about 12457.3698668700. The cubic root of 155186064 is about 537.3833908927.

The spelling of 155186064 in words is "one hundred fifty-five million, one hundred eighty-six thousand, sixty-four".