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95397120 = 2832572132
BaseRepresentation
bin1011010111110…
…10010100000000
320122111200020200
411223322110000
5143410201440
613244405200
72235601500
oct553722400
9218450220
1095397120
11499382a5
1227b46800
13169c1700
14c953a00
158595c30
hex5afa500

95397120 has 486 divisors, whose sum is σ = 415758798. Its totient is φ = 20127744.

The previous prime is 95397103. The next prime is 95397131. The reversal of 95397120 is 2179359.

It can be written as a sum of positive squares in 3 ways, for example, as 451584 + 94945536 = 672^2 + 9744^2 .

It is a super-2 number, since 2×953971202 = 18201221008588800, which contains 22 as substring.

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

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 7338234 + ... + 7338246.

Almost surely, 295397120 is an apocalyptic number.

95397120 is a gapful number since it is divisible by the number (90) 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 95397120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207879399).

95397120 is an abundant number, since it is smaller than the sum of its proper divisors (320361678).

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

95397120 is a wasteful number, since it uses less digits than its factorization.

95397120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 95397120 is about 9767.1449257191. The cubic root of 95397120 is about 456.9251761236.

The spelling of 95397120 in words is "ninety-five million, three hundred ninety-seven thousand, one hundred twenty".