Search a number
-
+
31056072 = 23323127443
BaseRepresentation
bin111011001111…
…0000011001000
32011102210220220
41312132003020
530422243242
63025350040
7524654325
oct166360310
964383826
1031056072
1116591983
12a498320
136584898
1441a5b4c
152ad6bec
hex1d9e0c8

31056072 has 64 divisors (see below), whose sum is σ = 81838080. Its totient is φ = 9801792.

The previous prime is 31056043. The next prime is 31056083. The reversal of 31056072 is 27065013.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69883 + ... + 70325.

It is an arithmetic number, because the mean of its divisors is an integer number (1278720).

Almost surely, 231056072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31056072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40919040).

31056072 is an abundant number, since it is smaller than the sum of its proper divisors (50782008).

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

31056072 is a wasteful number, since it uses less digits than its factorization.

31056072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 31056072 is about 5572.7975021528. The cubic root of 31056072 is about 314.3273527674.

The spelling of 31056072 in words is "thirty-one million, fifty-six thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 127 138 184 254 276 381 443 508 552 762 886 1016 1329 1524 1772 2658 2921 3048 3544 5316 5842 8763 10189 10632 11684 17526 20378 23368 30567 35052 40756 56261 61134 70104 81512 112522 122268 168783 225044 244536 337566 450088 675132 1294003 1350264 2588006 3882009 5176012 7764018 10352024 15528036 31056072