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116032040 = 2357379503
BaseRepresentation
bin1101110101010…
…00001000101000
322002100001000222
412322220020220
5214201011130
615302545212
72606153555
oct672501050
9262301028
10116032040
115a551653
1232a38208
131b067b17
14115a5a2c
15a2bece5
hex6ea8228

116032040 has 64 divisors (see below), whose sum is σ = 268531200. Its totient is φ = 45107712.

The previous prime is 116032019. The next prime is 116032061. The reversal of 116032040 is 40230611.

It is an interprime number because it is at equal distance from previous prime (116032019) and next prime (116032061).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 230429 + ... + 230931.

It is an arithmetic number, because the mean of its divisors is an integer number (4195800).

Almost surely, 2116032040 is an apocalyptic number.

116032040 is a gapful number since it is divisible by the number (10) 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 116032040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134265600).

116032040 is an abundant number, since it is smaller than the sum of its proper divisors (152499160).

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

116032040 is a wasteful number, since it uses less digits than its factorization.

116032040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 116032040 is about 10771.8169312331. The cubic root of 116032040 is about 487.7447939988.

Adding to 116032040 its reverse (40230611), we get a palindrome (156262651).

The spelling of 116032040 in words is "one hundred sixteen million, thirty-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 73 79 146 158 292 316 365 395 503 584 632 730 790 1006 1460 1580 2012 2515 2920 3160 4024 5030 5767 10060 11534 20120 23068 28835 36719 39737 46136 57670 73438 79474 115340 146876 158948 183595 198685 230680 293752 317896 367190 397370 734380 794740 1468760 1589480 2900801 5801602 11603204 14504005 23206408 29008010 58016020 116032040