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116798976 = 293371771
BaseRepresentation
bin1101111011000…
…11011000000000
322010210000002000
412331203120000
5214400031401
615331224000
72615526540
oct675433000
9263700060
10116798976
115aa25888
1233148000
131b275c28
1411725320
15a3c2186
hex6f63600

116798976 has 320 divisors, whose sum is σ = 424258560. Its totient is φ = 30965760.

The previous prime is 116798971. The next prime is 116798987. The reversal of 116798976 is 679897611.

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 not an unprimeable number, because it can be changed into a prime (116798971) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1645021 + ... + 1645091.

It is an arithmetic number, because the mean of its divisors is an integer number (1325808).

Almost surely, 2116798976 is an apocalyptic number.

116798976 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 116798976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212129280).

116798976 is an abundant number, since it is smaller than the sum of its proper divisors (307459584).

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

116798976 is an equidigital number, since it uses as much as digits as its factorization.

116798976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 100 counting only the distinct ones).

The product of its digits is 1143072, while the sum is 54.

The square root of 116798976 is about 10807.3574938557. The cubic root of 116798976 is about 488.8170492543.

The spelling of 116798976 in words is "one hundred sixteen million, seven hundred ninety-eight thousand, nine hundred seventy-six".