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95970420 = 22355721331
BaseRepresentation
bin1011011100001…
…10010001110100
320200120210200000
411232012101310
5144032023140
613304551300
72243510100
oct556062164
9220523600
1095970420
114a199aa7
1228182530
1316b62640
14ca62900
15865aa30
hex5b86474

95970420 has 432 divisors, whose sum is σ = 390394368. Its totient is φ = 19595520.

The previous prime is 95970419. The next prime is 95970443. The reversal of 95970420 is 2407959.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3095805 + ... + 3095835.

Almost surely, 295970420 is an apocalyptic number.

95970420 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 95970420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195197184).

95970420 is an abundant number, since it is smaller than the sum of its proper divisors (294423948).

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

95970420 is a wasteful number, since it uses less digits than its factorization.

95970420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 95970420 is about 9796.4493567823. The cubic root of 95970420 is about 457.8386635135.

The spelling of 95970420 in words is "ninety-five million, nine hundred seventy thousand, four hundred twenty".