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155040600 = 2335211132139
BaseRepresentation
bin10010011110110…
…11101101011000
3101210201212201110
421033123231120
5304142244400
623215020320
73561552261
oct1117335530
9353655643
10155040600
117a575330
1243b0a6a0
1326175300
141683b968
15d927e50
hex93dbb58

155040600 has 288 divisors, whose sum is σ = 571838400. Its totient is φ = 34444800.

The previous prime is 155040577. The next prime is 155040607. The reversal of 155040600 is 6040551.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155040607) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1115331 + ... + 1115469.

It is an arithmetic number, because the mean of its divisors is an integer number (1985550).

Almost surely, 2155040600 is an apocalyptic number.

155040600 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 155040600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285919200).

155040600 is an abundant number, since it is smaller than the sum of its proper divisors (416797800).

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

155040600 is a wasteful number, since it uses less digits than its factorization.

155040600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 155040600 is about 12451.5300264666. The cubic root of 155040600 is about 537.2154325668.

The spelling of 155040600 in words is "one hundred fifty-five million, forty thousand, six hundred".