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116948832 = 253711131217
BaseRepresentation
bin1101111100001…
…11111101100000
322011001121122020
412332013331200
5214414330312
615334341440
72620022460
oct676077540
9264047566
10116948832
1160018430
12331ba880
131b2c91c0
1411763ba0
15a40178c
hex6f87f60

116948832 has 192 divisors, whose sum is σ = 412521984. Its totient is φ = 28016640.

The previous prime is 116948803. The next prime is 116948861. The reversal of 116948832 is 238849611.

It is an interprime number because it is at equal distance from previous prime (116948803) and next prime (116948861).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 95488 + ... + 96704.

It is an arithmetic number, because the mean of its divisors is an integer number (2148552).

Almost surely, 2116948832 is an apocalyptic number.

116948832 is a gapful number since it is divisible by the number (12) 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 116948832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206260992).

116948832 is an abundant number, since it is smaller than the sum of its proper divisors (295573152).

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

116948832 is a wasteful number, since it uses less digits than its factorization.

116948832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1261 (or 1253 counting only the distinct ones).

The product of its digits is 82944, while the sum is 42.

The square root of 116948832 is about 10814.2883260989. The cubic root of 116948832 is about 489.0260147334.

The spelling of 116948832 in words is "one hundred sixteen million, nine hundred forty-eight thousand, eight hundred thirty-two".