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117374656 = 267377397
BaseRepresentation
bin1101111111011…
…11111011000000
322011212020202111
412333233323000
5220021442111
615351425104
72623445110
oct677577300
9264766674
10117374656
1160289353
1233385194
131b417c79
1411835040
15a487a21
hex6fefec0

117374656 has 112 divisors (see below), whose sum is σ = 279985216. Its totient is φ = 47775744.

The previous prime is 117374641. The next prime is 117374669. The reversal of 117374656 is 656473711.

117374656 = 2012 + 2022 + ... + 7112.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×1173746562 = 27553619742236672, which contains 22 as substring.

Its product of digits (105840) is a multiple of the sum of its prime divisors (216).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1210000 + ... + 1210096.

It is an arithmetic number, because the mean of its divisors is an integer number (2499868).

Almost surely, 2117374656 is an apocalyptic number.

117374656 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 117374656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139992608).

117374656 is an abundant number, since it is smaller than the sum of its proper divisors (162610560).

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

117374656 is an equidigital number, since it uses as much as digits as its factorization.

117374656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 216 counting only the distinct ones).

The product of its digits is 105840, while the sum is 40.

The square root of 117374656 is about 10833.9584640149. The cubic root of 117374656 is about 489.6188289283.

The spelling of 117374656 in words is "one hundred seventeen million, three hundred seventy-four thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 64 73 74 97 112 146 148 194 224 259 292 296 388 448 511 518 584 592 679 776 1022 1036 1168 1184 1358 1552 2044 2072 2336 2368 2701 2716 3104 3589 4088 4144 4672 5402 5432 6208 7081 7178 8176 8288 10804 10864 14162 14356 16352 16576 18907 21608 21728 25123 28324 28712 32704 37814 43216 43456 49567 50246 56648 57424 75628 86432 99134 100492 113296 114848 151256 172864 198268 200984 226592 229696 261997 302512 396536 401968 453184 523994 605024 793072 803936 1047988 1210048 1586144 1607872 1833979 2095976 3172288 3667958 4191952 7335916 8383904 14671832 16767808 29343664 58687328 117374656