Search a number
-
+
117015040 = 295431063
BaseRepresentation
bin1101111100110…
…00001000000000
322011011222110101
412332120020000
5214423440130
615340012144
72620416502
oct676301000
9264158411
10117015040
116006314a
1233231054
131b32038c
141177dd72
15a4161ca
hex6f98200

117015040 has 80 divisors (see below), whose sum is σ = 287356608. Its totient is φ = 45674496.

The previous prime is 117014999. The next prime is 117015047. The reversal of 117015040 is 40510711.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 117014999 and 117015017.

It is not an unprimeable number, because it can be changed into a prime (117015047) 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, 109549 + ... + 110611.

Almost surely, 2117015040 is an apocalyptic number.

117015040 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 117015040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143678304).

117015040 is an abundant number, since it is smaller than the sum of its proper divisors (170341568).

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

117015040 is an equidigital number, since it uses as much as digits as its factorization.

117015040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1129 (or 1113 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 19.

The square root of 117015040 is about 10817.3490282971. The cubic root of 117015040 is about 489.1182810856.

Adding to 117015040 its reverse (40510711), we get a palindrome (157525751).

The spelling of 117015040 in words is "one hundred seventeen million, fifteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 64 80 86 128 160 172 215 256 320 344 430 512 640 688 860 1063 1280 1376 1720 2126 2560 2752 3440 4252 5315 5504 6880 8504 10630 11008 13760 17008 21260 22016 27520 34016 42520 45709 55040 68032 85040 91418 110080 136064 170080 182836 228545 272128 340160 365672 457090 544256 680320 731344 914180 1360640 1462688 1828360 2721280 2925376 3656720 5850752 7313440 11701504 14626880 23403008 29253760 58507520 117015040