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197135820 = 223257331103
BaseRepresentation
bin10111100000000…
…00110111001100
3111201221112111200
423300000313030
5400431321240
631321145500
74612425000
oct1360006714
9451845450
10197135820
11a1307072
125602b290
1331ac371b
141c278700
1512490930
hexbc00dcc

197135820 has 288 divisors, whose sum is σ = 726835200. Its totient is φ = 43182720.

The previous prime is 197135767. The next prime is 197135863. The reversal of 197135820 is 28531791.

197135820 is a `hidden beast` number, since 1 + 9 + 71 + 3 + 582 + 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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1913889 + ... + 1913991.

Almost surely, 2197135820 is an apocalyptic number.

197135820 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 197135820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363417600).

197135820 is an abundant number, since it is smaller than the sum of its proper divisors (529699380).

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

197135820 is a wasteful number, since it uses less digits than its factorization.

197135820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 197135820 is about 14040.5064011239. The cubic root of 197135820 is about 581.9984766319.

The spelling of 197135820 in words is "one hundred ninety-seven million, one hundred thirty-five thousand, eight hundred twenty".