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196934976 = 2638767
BaseRepresentation
bin10111011110011…
…11110101000000
3111201120100000000
423233033311000
5400403404401
631313000000
74610630310
oct1357176500
9451510000
10196934976
11a118a187
1255b53000
1331a53194
141c225440
1512451186
hexbbcfd40

196934976 has 252 divisors, whose sum is σ = 679895008. Its totient is φ = 55427328.

The previous prime is 196934923. The next prime is 196934989. The reversal of 196934976 is 679439691.

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2939295 + ... + 2939361.

Almost surely, 2196934976 is an apocalyptic number.

196934976 is a gapful number since it is divisible by the number (16) 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 196934976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339947504).

196934976 is an abundant number, since it is smaller than the sum of its proper divisors (482960032).

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

196934976 is an frugal number, since it uses more digits than its factorization.

196934976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 79 counting only the distinct ones).

The product of its digits is 2204496, while the sum is 54.

The square root of 196934976 is about 14033.3522723546. The cubic root of 196934976 is about 581.8007607947.

The spelling of 196934976 in words is "one hundred ninety-six million, nine hundred thirty-four thousand, nine hundred seventy-six".