[go: up one dir, main page]

Search a number
-
+
117010944 = 293267379
BaseRepresentation
bin1101111100101…
…11001000000000
322011011202211200
412332113020000
5214423322234
615335541200
72620401531
oct676271000
9264152750
10117010944
1160060066
123322a800
131b31b55b
141177c688
15a414d99
hex6f97200

117010944 has 120 divisors (see below), whose sum is σ = 343646160. Its totient is φ = 38320128.

The previous prime is 117010939. The next prime is 117010963. The reversal of 117010944 is 449010711.

It is a super-2 number, since 2×1170109442 = 27383122031542272, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 308547 + ... + 308925.

It is an arithmetic number, because the mean of its divisors is an integer number (2863718).

Almost surely, 2117010944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117010944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171823080).

117010944 is an abundant number, since it is smaller than the sum of its proper divisors (226635216).

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

117010944 is an equidigital number, since it uses as much as digits as its factorization.

117010944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 117010944 is about 10817.1597011415. The cubic root of 117010944 is about 489.1125739792.

The spelling of 117010944 in words is "one hundred seventeen million, ten thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 67 72 96 128 134 144 192 201 256 268 288 379 384 402 512 536 576 603 758 768 804 1072 1137 1152 1206 1516 1536 1608 2144 2274 2304 2412 3032 3216 3411 4288 4548 4608 4824 6064 6432 6822 8576 9096 9648 12128 12864 13644 17152 18192 19296 24256 25393 25728 27288 34304 36384 38592 48512 50786 51456 54576 72768 76179 77184 97024 101572 102912 109152 145536 152358 154368 194048 203144 218304 228537 291072 304716 308736 406288 436608 457074 582144 609432 812576 873216 914148 1218864 1625152 1746432 1828296 2437728 3250304 3656592 4875456 6500608 7313184 9750912 13001216 14626368 19501824 29252736 39003648 58505472 117010944