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117644016 = 2437379463
BaseRepresentation
bin1110000001100…
…01101011110000
322012100221020210
413000301223300
5220104102031
615401304120
72625646320
oct700615360
9265327223
10117644016
1160452766
1233495040
131b4b0759
14118a5280
15a4dc746
hex7031af0

117644016 has 80 divisors (see below), whose sum is σ = 356754944. Its totient is φ = 32700672.

The previous prime is 117643969. The next prime is 117644017. The reversal of 117644016 is 610446711.

It is a super-2 number, since 2×1176440162 = 27680229001216512, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117644017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7701 + ... + 17163.

Almost surely, 2117644016 is an apocalyptic number.

117644016 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 117644016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178377472).

117644016 is an abundant number, since it is smaller than the sum of its proper divisors (239110928).

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

117644016 is a wasteful number, since it uses less digits than its factorization.

117644016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9518 (or 9512 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 117644016 is about 10846.3826227918. The cubic root of 117644016 is about 489.9930805631.

The spelling of 117644016 in words is "one hundred seventeen million, six hundred forty-four thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 37 42 48 56 74 84 111 112 148 168 222 259 296 336 444 518 592 777 888 1036 1554 1776 2072 3108 4144 6216 9463 12432 18926 28389 37852 56778 66241 75704 113556 132482 151408 198723 227112 264964 350131 397446 454224 529928 700262 794892 1050393 1059856 1400524 1589784 2100786 2450917 2801048 3179568 4201572 4901834 5602096 7352751 8403144 9803668 14705502 16806288 19607336 29411004 39214672 58822008 117644016