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117040416 = 25310112071
BaseRepresentation
bin1101111100111…
…10010100100000
322011020021021020
412332132110200
5214430243131
615340325440
72620553463
oct676362440
9264207236
10117040416
1160080219
1233243880
131b32baac
14117892da
15a41d996
hex6f9e520

117040416 has 48 divisors (see below), whose sum is σ = 310298688. Its totient is φ = 38624000.

The previous prime is 117040409. The next prime is 117040423. The reversal of 117040416 is 614040711.

It is an interprime number because it is at equal distance from previous prime (117040409) and next prime (117040423).

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3661 + ... + 15731.

It is an arithmetic number, because the mean of its divisors is an integer number (6464556).

Almost surely, 2117040416 is an apocalyptic number.

117040416 is a gapful number since it is divisible by the number (16) 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 117040416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155149344).

117040416 is an abundant number, since it is smaller than the sum of its proper divisors (193258272).

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

117040416 is a wasteful number, since it uses less digits than its factorization.

117040416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12185 (or 12177 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 117040416 is about 10818.5218953423. The cubic root of 117040416 is about 489.1536354252.

The spelling of 117040416 in words is "one hundred seventeen million, forty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 101 202 303 404 606 808 1212 1616 2424 3232 4848 9696 12071 24142 36213 48284 72426 96568 144852 193136 289704 386272 579408 1158816 1219171 2438342 3657513 4876684 7315026 9753368 14630052 19506736 29260104 39013472 58520208 117040416