Search a number
-
+
116919360 = 2632540597
BaseRepresentation
bin1101111100000…
…00110001000000
322011000010012200
412332000301000
5214412404420
615333553200
72616540525
oct676006100
9264003180
10116919360
115aaa8278
12331a5800
131b2b896c
141175714c
15a3e7b90
hex6f80c40

116919360 has 84 divisors (see below), whose sum is σ = 402163788. Its totient is φ = 31177728.

The previous prime is 116919359. The next prime is 116919367. The reversal of 116919360 is 63919611.

It can be written as a sum of positive squares in 2 ways, for example, as 86713344 + 30206016 = 9312^2 + 5496^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (116919367) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17419 + ... + 23178.

Almost surely, 2116919360 is an apocalyptic number.

116919360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

116919360 is an abundant number, since it is smaller than the sum of its proper divisors (285244428).

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

116919360 is a wasteful number, since it uses less digits than its factorization.

116919360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40620 (or 40607 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The square root of 116919360 is about 10812.9255985603. The cubic root of 116919360 is about 488.9849318503.

The spelling of 116919360 in words is "one hundred sixteen million, nine hundred nineteen thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 40597 81194 121791 162388 202985 243582 324776 365373 405970 487164 608955 649552 730746 811940 974328 1217910 1299104 1461492 1623880 1826865 1948656 2435820 2598208 2922984 3247760 3653730 3897312 4871640 5845968 6495520 7307460 7794624 9743280 11691936 12991040 14614920 19486560 23383872 29229840 38973120 58459680 116919360