Search a number
-
+
116393472 = 2932132967
BaseRepresentation
bin1101111000000…
…00011000000000
322010000101211100
412330000120000
5214244042342
615314414400
72612220366
oct674003000
9263011740
10116393472
115a779158
1232b91400
131b1634a0
141165b636
15a341e4c
hex6f00600

116393472 has 240 divisors, whose sum is σ = 379819440. Its totient is φ = 34062336.

The previous prime is 116393471. The next prime is 116393477. The reversal of 116393472 is 274393611.

116393472 is a `hidden beast` number, since 11 + 639 + 3 + 4 + 7 + 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 not an unprimeable number, because it can be changed into a prime (116393471) 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, 1737183 + ... + 1737249.

It is an arithmetic number, because the mean of its divisors is an integer number (1582581).

Almost surely, 2116393472 is an apocalyptic number.

116393472 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 116393472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189909720).

116393472 is an abundant number, since it is smaller than the sum of its proper divisors (263425968).

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

116393472 is a wasteful number, since it uses less digits than its factorization.

116393472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 114 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 116393472 is about 10788.5806295360. The cubic root of 116393472 is about 488.2506998164.

The spelling of 116393472 in words is "one hundred sixteen million, three hundred ninety-three thousand, four hundred seventy-two".