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116648532 = 223371113283
BaseRepresentation
bin1101111001111…
…10101001010100
322010111100201000
412330332221110
5214330223112
615324103300
72614332120
oct674765124
9263440630
10116648532
115a932850
1233094b30
131b222600
14116c6580
15a3927dc
hex6f3ea54

116648532 has 288 divisors, whose sum is σ = 413199360. Its totient is φ = 27630720.

The previous prime is 116648489. The next prime is 116648549. The reversal of 116648532 is 235846611.

It is a happy number.

116648532 is a `hidden beast` number, since 1 + 1 + 6 + 648 + 5 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1405363 + ... + 1405445.

It is an arithmetic number, because the mean of its divisors is an integer number (1434720).

Almost surely, 2116648532 is an apocalyptic number.

116648532 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 116648532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206599680).

116648532 is an abundant number, since it is smaller than the sum of its proper divisors (296550828).

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

116648532 is a wasteful number, since it uses less digits than its factorization.

116648532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 119 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 116648532 is about 10800.3949927769. The cubic root of 116648532 is about 488.6070839739.

The spelling of 116648532 in words is "one hundred sixteen million, six hundred forty-eight thousand, five hundred thirty-two".