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195961140 = 223354153167
BaseRepresentation
bin10111010111000…
…10000100110100
3111122201212011000
423223202010310
5400131224030
631240043300
74566433164
oct1353420464
9448655130
10195961140
11a0684561
1255763530
13317a1b4b
141c0505a4
151230c860
hexbae2134

195961140 has 192 divisors, whose sum is σ = 640120320. Its totient is φ = 49720320.

The previous prime is 195961123. The next prime is 195961141. The reversal of 195961140 is 41169591.

195961140 is a `hidden beast` number, since 19 + 596 + 11 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 195961095 and 195961104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (195961141) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1173337 + ... + 1173503.

It is an arithmetic number, because the mean of its divisors is an integer number (3333960).

Almost surely, 2195961140 is an apocalyptic number.

195961140 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 195961140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320060160).

195961140 is an abundant number, since it is smaller than the sum of its proper divisors (444159180).

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

195961140 is a wasteful number, since it uses less digits than its factorization.

195961140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The square root of 195961140 is about 13998.6120740593. The cubic root of 195961140 is about 580.8401814629.

It can be divided in two parts, 19596 and 1140, that added together give a 4-th power (20736 = 124).

The spelling of 195961140 in words is "one hundred ninety-five million, nine hundred sixty-one thousand, one hundred forty".