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90095148 = 2232112133743
BaseRepresentation
bin1010101111010…
…11111000101100
320021112022022100
411113223320230
5141031021043
612535015100
72142540033
oct527537054
9207468270
1090095148
1146946900
122620a490
1315886350
14bd7371a
157d99cd3
hex55ebe2c

90095148 has 216 divisors, whose sum is σ = 283307024. Its totient is φ = 23950080.

The previous prime is 90095147. The next prime is 90095171. The reversal of 90095148 is 84159009.

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

It is not an unprimeable number, because it can be changed into a prime (90095143) 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, 2095215 + ... + 2095257.

Almost surely, 290095148 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 90095148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141653512).

90095148 is an abundant number, since it is smaller than the sum of its proper divisors (193211876).

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

90095148 is a wasteful number, since it uses less digits than its factorization.

90095148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 90095148 is about 9491.8463957230. The cubic root of 90095148 is about 448.2983437390.

The spelling of 90095148 in words is "ninety million, ninety-five thousand, one hundred forty-eight".