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196117740 = 223357132307
BaseRepresentation
bin10111011000010…
…00010011101100
3111200000210222000
423230020103230
5400201231430
631243252300
74600654560
oct1354102354
9450023860
10196117740
11a0781185
125581a090
1331828200
141c0916a0
151233de60
hexbb084ec

196117740 has 288 divisors, whose sum is σ = 757532160. Its totient is φ = 41243904.

The previous prime is 196117721. The next prime is 196117783. The reversal of 196117740 is 47711691.

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 = 196117695 and 196117704.

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 95 ways as a sum of consecutive naturals, for example, 638667 + ... + 638973.

It is an arithmetic number, because the mean of its divisors is an integer number (2630320).

Almost surely, 2196117740 is an apocalyptic number.

196117740 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 196117740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378766080).

196117740 is an abundant number, since it is smaller than the sum of its proper divisors (561414420).

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

196117740 is a wasteful number, since it uses less digits than its factorization.

196117740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 36.

The square root of 196117740 is about 14004.2043686887. The cubic root of 196117740 is about 580.9948640927.

It can be divided in two parts, 1961 and 17740, that added together give a triangular number (19701 = T198).

The spelling of 196117740 in words is "one hundred ninety-six million, one hundred seventeen thousand, seven hundred forty".