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155260440 = 233254167157
BaseRepresentation
bin10010100000100…
…01011000011000
3101211011001021200
421100101120120
5304221313230
623223434200
73563456226
oct1120213030
9354131250
10155260440
117a705515
1243bb5960
13262213aa
1416897b16
15d96d160
hex9411618

155260440 has 192 divisors, whose sum is σ = 527960160. Its totient is φ = 39536640.

The previous prime is 155260429. The next prime is 155260453. The reversal of 155260440 is 44062551.

155260440 is a `hidden beast` number, since 1 + 5 + 52 + 604 + 4 + 0 = 666.

It is a super-3 number, since 3×1552604403 (a number of 26 digits) contains 333 as substring.

It is a congruent number.

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, 988842 + ... + 988998.

Almost surely, 2155260440 is an apocalyptic number.

155260440 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 155260440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263980080).

155260440 is an abundant number, since it is smaller than the sum of its proper divisors (372699720).

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

155260440 is a wasteful number, since it uses less digits than its factorization.

155260440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 155260440 is about 12460.3547301030. The cubic root of 155260440 is about 537.4692277317.

The spelling of 155260440 in words is "one hundred fifty-five million, two hundred sixty thousand, four hundred forty".