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117453792 = 2533161647
BaseRepresentation
bin1110000000000…
…11001111100000
322012000021022110
413000003033200
5220032010132
615353235320
72624224611
oct700031740
9265007273
10117453792
1160332855
1233402b40
131b444cb1
1411855c08
15a4a11cc
hex70033e0

117453792 has 96 divisors (see below), whose sum is σ = 323979264. Its totient is φ = 37209600.

The previous prime is 117453781. The next prime is 117453811. The reversal of 117453792 is 297354711.

It is a tau number, because it is divible by the number of its divisors (96).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 117453792.

It is a congruent number.

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, 181213 + ... + 181859.

It is an arithmetic number, because the mean of its divisors is an integer number (3374784).

Almost surely, 2117453792 is an apocalyptic number.

117453792 is a gapful number since it is divisible by the number (12) 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 117453792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161989632).

117453792 is an abundant number, since it is smaller than the sum of its proper divisors (206525472).

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

117453792 is a wasteful number, since it uses less digits than its factorization.

117453792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752 (or 744 counting only the distinct ones).

The product of its digits is 52920, while the sum is 39.

The square root of 117453792 is about 10837.6100686452. The cubic root of 117453792 is about 489.7288406701.

The spelling of 117453792 in words is "one hundred seventeen million, four hundred fifty-three thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 61 62 93 96 122 124 183 186 244 248 366 372 488 496 647 732 744 976 992 1294 1464 1488 1891 1941 1952 2588 2928 2976 3782 3882 5176 5673 5856 7564 7764 10352 11346 15128 15528 20057 20704 22692 30256 31056 39467 40114 45384 60171 60512 62112 78934 80228 90768 118401 120342 157868 160456 181536 236802 240684 315736 320912 473604 481368 631472 641824 947208 962736 1223477 1262944 1894416 1925472 2446954 3670431 3788832 4893908 7340862 9787816 14681724 19575632 29363448 39151264 58726896 117453792