Search a number
-
+
155096100 = 2233521731109
BaseRepresentation
bin10010011111010…
…01010000100100
3101210211200212000
421033221100210
5304201033400
623220125300
73562203135
oct1117512044
9353750760
10155096100
117a602aa5
1243b36830
1326194653
1416853c8c
15d939600
hex93e9424

155096100 has 288 divisors, whose sum is σ = 549964800. Its totient is φ = 37324800.

The previous prime is 155096087. The next prime is 155096111. The reversal of 155096100 is 1690551.

155096100 is a `hidden beast` number, since 1 + 550 + 9 + 6 + 100 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1422846 + ... + 1422954.

It is an arithmetic number, because the mean of its divisors is an integer number (1909600).

Almost surely, 2155096100 is an apocalyptic number.

155096100 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 155096100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274982400).

155096100 is an abundant number, since it is smaller than the sum of its proper divisors (394868700).

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

155096100 is a wasteful number, since it uses less digits than its factorization.

155096100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 27.

The square root of 155096100 is about 12453.7584688318. The cubic root of 155096100 is about 537.2795273900.

It can be divided in two parts, 15509 and 6100, that added together give a square (21609 = 1472).

The spelling of 155096100 in words is "one hundred fifty-five million, ninety-six thousand, one hundred".