Search a number
-
+
117053376 = 26311192917
BaseRepresentation
bin1101111101000…
…01011111000000
322011020221001020
412332201133000
5214431202001
615340505440
72620636326
oct676413700
9264227036
10117053376
1160089a30
123324b280
131b33496b
141178dd16
15a422736
hex6fa17c0

117053376 has 112 divisors (see below), whose sum is σ = 355762560. Its totient is φ = 33592320.

The previous prime is 117053329. The next prime is 117053389. The reversal of 117053376 is 673350711.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 38670 + ... + 41586.

Almost surely, 2117053376 is an apocalyptic number.

117053376 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 117053376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177881280).

117053376 is an abundant number, since it is smaller than the sum of its proper divisors (238709184).

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

117053376 is a wasteful number, since it uses less digits than its factorization.

117053376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2962 (or 2952 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 33.

The square root of 117053376 is about 10819.1208515295. The cubic root of 117053376 is about 489.1716895794.

The spelling of 117053376 in words is "one hundred seventeen million, fifty-three thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 32 33 38 44 48 57 64 66 76 88 96 114 132 152 176 192 209 228 264 304 352 418 456 528 608 627 704 836 912 1056 1216 1254 1672 1824 2112 2508 2917 3344 3648 5016 5834 6688 8751 10032 11668 13376 17502 20064 23336 32087 35004 40128 46672 55423 64174 70008 93344 96261 110846 128348 140016 166269 186688 192522 221692 256696 280032 332538 385044 443384 513392 560064 609653 665076 770088 886768 1026784 1219306 1330152 1540176 1773536 1828959 2053568 2438612 2660304 3080352 3547072 3657918 4877224 5320608 6160704 7315836 9754448 10641216 14631672 19508896 29263344 39017792 58526688 117053376