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116378496 = 27321319409
BaseRepresentation
bin1101110111111…
…00101110000000
322002222122021200
412323330232000
5214243102441
615314221200
72612125623
oct673745600
9262878250
10116378496
115a768983
1232b84800
131b159720
1411655dba
15a33c7b6
hex6efcb80

116378496 has 192 divisors, whose sum is σ = 380562000. Its totient is φ = 33841152.

The previous prime is 116378491. The next prime is 116378501. The reversal of 116378496 is 694873611.

It is a happy number.

116378496 is a `hidden beast` number, since 1 + 1 + 637 + 8 + 4 + 9 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (116378491) and next prime (116378501).

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116378491) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 284340 + ... + 284748.

Almost surely, 2116378496 is an apocalyptic number.

116378496 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 116378496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190281000).

116378496 is an abundant number, since it is smaller than the sum of its proper divisors (264183504).

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

116378496 is a wasteful number, since it uses less digits than its factorization.

116378496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 446 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 116378496 is about 10787.8865400040. The cubic root of 116378496 is about 488.2297583324.

The spelling of 116378496 in words is "one hundred sixteen million, three hundred seventy-eight thousand, four hundred ninety-six".