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195285420 = 22325111929179
BaseRepresentation
bin10111010001111…
…01000110101100
3111121110112020100
423220331012230
5344443113140
631213351100
74560620151
oct1350750654
9447415210
10195285420
11a0262910
1255498490
13315c6405
141bd16228
1512227530
hexba3d1ac

195285420 has 288 divisors, whose sum is σ = 707616000. Its totient is φ = 43061760.

The previous prime is 195285413. The next prime is 195285421. The reversal of 195285420 is 24582591.

195285420 is a `hidden beast` number, since 1 + 95 + 28 + 542 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (195285421) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1090891 + ... + 1091069.

It is an arithmetic number, because the mean of its divisors is an integer number (2457000).

Almost surely, 2195285420 is an apocalyptic number.

195285420 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 195285420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353808000).

195285420 is an abundant number, since it is smaller than the sum of its proper divisors (512330580).

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

195285420 is a wasteful number, since it uses less digits than its factorization.

195285420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 195285420 is about 13974.4559822556. The cubic root of 195285420 is about 580.1717881941.

The spelling of 195285420 in words is "one hundred ninety-five million, two hundred eighty-five thousand, four hundred twenty".