Search a number
-
+
117090560 = 285175381
BaseRepresentation
bin1101111101010…
…10100100000000
322011022211001102
412332222210000
5214433344220
615341353532
72621152616
oct676524400
9264284042
10117090560
1160104964
12332688a8
131b348872
141179d6b6
15a42d775
hex6faa900

117090560 has 72 divisors (see below), whose sum is σ = 297021816. Its totient is φ = 44072960.

The previous prime is 117090541. The next prime is 117090563. The reversal of 117090560 is 65090711.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 16128256 + 100962304 = 4016^2 + 10048^2 .

It is a super-2 number, since 2×1170905602 = 27420398482227200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (117090563) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19070 + ... + 24450.

It is an arithmetic number, because the mean of its divisors is an integer number (4125303).

Almost surely, 2117090560 is an apocalyptic number.

117090560 is a gapful number since it is divisible by the number (10) 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 117090560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148510908).

117090560 is an abundant number, since it is smaller than the sum of its proper divisors (179931256).

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

117090560 is an equidigital number, since it uses as much as digits as its factorization.

117090560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5419 (or 5405 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 29.

The square root of 117090560 is about 10820.8391541507. The cubic root of 117090560 is about 489.2234820038.

The spelling of 117090560 in words is "one hundred seventeen million, ninety thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 256 272 320 340 544 640 680 1088 1280 1360 2176 2720 4352 5381 5440 10762 10880 21524 21760 26905 43048 53810 86096 91477 107620 172192 182954 215240 344384 365908 430480 457385 688768 731816 860960 914770 1377536 1463632 1721920 1829540 2927264 3443840 3659080 5854528 6887680 7318160 11709056 14636320 23418112 29272640 58545280 117090560