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196296960 = 2835173197
BaseRepresentation
bin10111011001101…
…00000100000000
3111200100220210210
423230310010000
5400223000320
631251154120
74602332226
oct1354640400
9450326723
10196296960
11a08938a2
12558a5940
133188b962
141c0dab16
15123770e0
hexbb34100

196296960 has 288 divisors, whose sum is σ = 692278272. Its totient is φ = 47185920.

The previous prime is 196296937. The next prime is 196296979. The reversal of 196296960 is 69692691.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2023632 + ... + 2023728.

It is an arithmetic number, because the mean of its divisors is an integer number (2403744).

Almost surely, 2196296960 is an apocalyptic number.

196296960 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 196296960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346139136).

196296960 is an abundant number, since it is smaller than the sum of its proper divisors (495981312).

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

196296960 is a wasteful number, since it uses less digits than its factorization.

196296960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 48.

The square root of 196296960 is about 14010.6017001412. The cubic root of 196296960 is about 581.1717887598.

The spelling of 196296960 in words is "one hundred ninety-six million, two hundred ninety-six thousand, nine hundred sixty".