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155340900 = 22325211131771
BaseRepresentation
bin10010100001001…
…01000001100100
3101211022010122200
421100211001210
5304231402100
623225254500
73564242631
oct1120450144
9354263580
10155340900
117a75aa10
1244034430
132624bbc0
14168b9188
15d986e00
hex9425064

155340900 has 432 divisors, whose sum is σ = 614210688. Its totient is φ = 32256000.

The previous prime is 155340893. The next prime is 155340931. The reversal of 155340900 is 9043551.

155340900 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2187865 + ... + 2187935.

It is an arithmetic number, because the mean of its divisors is an integer number (1421784).

Almost surely, 2155340900 is an apocalyptic number.

155340900 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 155340900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307105344).

155340900 is an abundant number, since it is smaller than the sum of its proper divisors (458869788).

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

155340900 is a wasteful number, since it uses less digits than its factorization.

155340900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 155340900 is about 12463.5829519444. The cubic root of 155340900 is about 537.5620552114.

The spelling of 155340900 in words is "one hundred fifty-five million, three hundred forty thousand, nine hundred".