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116467712 = 211293753
BaseRepresentation
bin1101111000100…
…10100000000000
322010011011122222
412330102200000
5214303431322
615320150212
72612650004
oct674224000
9263134588
10116467712
115a819a09
1233008368
131b18b20a
141167a704
15a358e42
hex6f12800

116467712 has 96 divisors (see below), whose sum is σ = 252088200. Its totient is φ = 53673984.

The previous prime is 116467691. The next prime is 116467717. The reversal of 116467712 is 217764611.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 116294656 + 173056 = 10784^2 + 416^2 .

It is not an unprimeable number, because it can be changed into a prime (116467717) 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, 2197478 + ... + 2197530.

Almost surely, 2116467712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116467712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126044100).

116467712 is an abundant number, since it is smaller than the sum of its proper divisors (135620488).

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

116467712 is an equidigital number, since it uses as much as digits as its factorization.

116467712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 121 counting only the distinct ones).

The product of its digits is 14112, while the sum is 35.

The square root of 116467712 is about 10792.0207560957. The cubic root of 116467712 is about 488.3544857859.

The spelling of 116467712 in words is "one hundred sixteen million, four hundred sixty-seven thousand, seven hundred twelve".

Divisors: 1 2 4 8 16 29 32 37 53 58 64 74 106 116 128 148 212 232 256 296 424 464 512 592 848 928 1024 1073 1184 1537 1696 1856 1961 2048 2146 2368 3074 3392 3712 3922 4292 4736 6148 6784 7424 7844 8584 9472 12296 13568 14848 15688 17168 18944 24592 27136 29696 31376 34336 37888 49184 54272 56869 59392 62752 68672 75776 98368 108544 113738 125504 137344 196736 227476 251008 274688 393472 454952 502016 549376 786944 909904 1004032 1098752 1573888 1819808 2008064 2197504 3147776 3639616 4016128 7279232 14558464 29116928 58233856 116467712