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116977536 = 27321373107
BaseRepresentation
bin1101111100011…
…10111110000000
322011010002000100
412332032332000
5214421240121
615335122400
72620202244
oct676167600
9264102010
10116977536
1160037a55
1233213400
131b3092a0
1411770424
15a40a026
hex6f8ef80

116977536 has 192 divisors, whose sum is σ = 370908720. Its totient is φ = 35168256.

The previous prime is 116977513. The next prime is 116977543. The reversal of 116977536 is 635779611.

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

It is a junction number, because it is equal to n+sod(n) for n = 116977491 and 116977500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1093195 + ... + 1093301.

Almost surely, 2116977536 is an apocalyptic number.

116977536 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 116977536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185454360).

116977536 is an abundant number, since it is smaller than the sum of its proper divisors (253931184).

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

116977536 is a wasteful number, since it uses less digits than its factorization.

116977536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 198 counting only the distinct ones).

The product of its digits is 238140, while the sum is 45.

The square root of 116977536 is about 10815.6153777767. The cubic root of 116977536 is about 489.0660204185.

The spelling of 116977536 in words is "one hundred sixteen million, nine hundred seventy-seven thousand, five hundred thirty-six".