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116730432 = 263271317131
BaseRepresentation
bin1101111010100…
…10101001000000
322010122112001100
412331102221000
5214340333212
615325534400
72615122650
oct675225100
9263575040
10116730432
115a989335
1233114400
131b250980
1411708360
15a3abbdc
hex6f52a40

116730432 has 336 divisors, whose sum is σ = 439350912. Its totient is φ = 28753920.

The previous prime is 116730421. The next prime is 116730443. The reversal of 116730432 is 234037611.

It is an interprime number because it is at equal distance from previous prime (116730421) and next prime (116730443).

It is a tau number, because it is divible by the number of its divisors (336).

It is a zygodrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 116730396 and 116730405.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 891007 + ... + 891137.

It is an arithmetic number, because the mean of its divisors is an integer number (1307592).

Almost surely, 2116730432 is an apocalyptic number.

116730432 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 116730432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219675456).

116730432 is an abundant number, since it is smaller than the sum of its proper divisors (322620480).

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

116730432 is a wasteful number, since it uses less digits than its factorization.

116730432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 116730432 is about 10804.1858554914. The cubic root of 116730432 is about 488.7214090544.

The spelling of 116730432 in words is "one hundred sixteen million, seven hundred thirty thousand, four hundred thirty-two".