Search a number
-
+
116372832 = 2536012017
BaseRepresentation
bin1101110111110…
…11010101100000
322002222100111220
412323323111200
5214242412312
615314135040
72612103252
oct673732540
9262870456
10116372832
115a7646a4
1232b81480
131b156c84
1411653cd2
15a33ac8c
hex6efb560

116372832 has 48 divisors (see below), whose sum is σ = 306138672. Its totient is φ = 38707200.

The previous prime is 116372827. The next prime is 116372833. The reversal of 116372832 is 238273611.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-5 number, since 5×1163728325 (a number of 42 digits) contains 55555 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 116372793 and 116372802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116372833) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56688 + ... + 58704.

It is an arithmetic number, because the mean of its divisors is an integer number (6377889).

Almost surely, 2116372832 is an apocalyptic number.

116372832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

116372832 is an abundant number, since it is smaller than the sum of its proper divisors (189765840).

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

116372832 is a wasteful number, since it uses less digits than its factorization.

116372832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2631 (or 2623 counting only the distinct ones).

The product of its digits is 12096, while the sum is 33.

The square root of 116372832 is about 10787.6240201446. The cubic root of 116372832 is about 488.2218376875.

The spelling of 116372832 in words is "one hundred sixteen million, three hundred seventy-two thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 601 1202 1803 2017 2404 3606 4034 4808 6051 7212 8068 9616 12102 14424 16136 19232 24204 28848 32272 48408 57696 64544 96816 193632 1212217 2424434 3636651 4848868 7273302 9697736 14546604 19395472 29093208 38790944 58186416 116372832