Search a number
-
+
117480012 = 223132531093
BaseRepresentation
bin1110000000010…
…01101001001100
322012001121021120
413000021221030
5220033330022
615354000540
72624364216
oct700115114
9265047246
10117480012
1160350521
1233416150
131b453c00
14118615b6
15a4a8d5c
hex7009a4c

117480012 has 72 divisors (see below), whose sum is σ = 302705424. Its totient is φ = 35433216.

The previous prime is 117480007. The next prime is 117480017. The reversal of 117480012 is 210084711.

117480012 is nontrivially palindromic in base 5.

It is an interprime number because it is at equal distance from previous prime (117480007) and next prime (117480017).

It is a zygodrome in base 5.

It is not an unprimeable number, because it can be changed into a prime (117480017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106938 + ... + 108030.

It is an arithmetic number, because the mean of its divisors is an integer number (4204242).

Almost surely, 2117480012 is an apocalyptic number.

117480012 is a gapful number since it is divisible by the number (12) 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 117480012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151352712).

117480012 is an abundant number, since it is smaller than the sum of its proper divisors (185225412).

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

117480012 is a wasteful number, since it uses less digits than its factorization.

117480012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1179 (or 1164 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 24.

The square root of 117480012 is about 10838.8196774372. The cubic root of 117480012 is about 489.7652797798.

The spelling of 117480012 in words is "one hundred seventeen million, four hundred eighty thousand, twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 53 78 106 156 159 169 212 318 338 507 636 676 689 1014 1093 1378 2028 2067 2186 2756 3279 4134 4372 6558 8268 8957 13116 14209 17914 26871 28418 35828 42627 53742 56836 57929 85254 107484 115858 170508 173787 184717 231716 347574 369434 554151 695148 738868 753077 1108302 1506154 2216604 2259231 3012308 4518462 9036924 9790001 19580002 29370003 39160004 58740006 117480012