Search a number
-
+
31125096 = 23321759431
BaseRepresentation
bin111011010111…
…0111001101000
32011120022121100
41312232321220
530432000341
63031041400
7525362502
oct166567150
964508540
1031125096
1116629822
12a510260
1365aa122
1441c2d72
152aec3b6
hex1daee68

31125096 has 96 divisors (see below), whose sum is σ = 90979200. Its totient is φ = 9576960.

The previous prime is 31125071. The next prime is 31125119. The reversal of 31125096 is 69052113.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72001 + ... + 72431.

It is an arithmetic number, because the mean of its divisors is an integer number (947700).

Almost surely, 231125096 is an apocalyptic number.

31125096 is a gapful number since it is divisible by the number (36) 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 31125096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45489600).

31125096 is an abundant number, since it is smaller than the sum of its proper divisors (59854104).

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

31125096 is a wasteful number, since it uses less digits than its factorization.

31125096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 31125096 is about 5578.9870048244. The cubic root of 31125096 is about 314.5600509803.

The spelling of 31125096 in words is "thirty-one million, one hundred twenty-five thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 59 68 72 102 118 136 153 177 204 236 306 354 408 431 472 531 612 708 862 1003 1062 1224 1293 1416 1724 2006 2124 2586 3009 3448 3879 4012 4248 5172 6018 7327 7758 8024 9027 10344 12036 14654 15516 18054 21981 24072 25429 29308 31032 36108 43962 50858 58616 65943 72216 76287 87924 101716 131886 152574 175848 203432 228861 263772 305148 432293 457722 527544 610296 864586 915444 1296879 1729172 1830888 2593758 3458344 3890637 5187516 7781274 10375032 15562548 31125096