Search a number
-
+
31409136 = 24321179251
BaseRepresentation
bin111011111010…
…0001111110000
32012002202020100
41313310033300
531020043021
63041112400
7530654553
oct167641760
965082210
1031409136
1116803170
12a628700
1366794b5
14425869a
152b56626
hex1df43f0

31409136 has 120 divisors (see below), whose sum is σ = 97493760. Its totient is φ = 9360000.

The previous prime is 31409087. The next prime is 31409167. The reversal of 31409136 is 63190413.

It is a congruent number.

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, 125011 + ... + 125261.

It is an arithmetic number, because the mean of its divisors is an integer number (812448).

Almost surely, 231409136 is an apocalyptic number.

31409136 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 31409136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48746880).

31409136 is an abundant number, since it is smaller than the sum of its proper divisors (66084624).

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

31409136 is a wasteful number, since it uses less digits than its factorization.

31409136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 31409136 is about 5604.3854257180. The cubic root of 31409136 is about 315.5140209243.

Adding to 31409136 its reverse (63190413), we get a palindrome (94599549).

The spelling of 31409136 in words is "thirty-one million, four hundred nine thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 79 88 99 132 144 158 176 198 237 251 264 316 396 474 502 528 632 711 753 792 869 948 1004 1264 1422 1506 1584 1738 1896 2008 2259 2607 2761 2844 3012 3476 3792 4016 4518 5214 5522 5688 6024 6952 7821 8283 9036 10428 11044 11376 12048 13904 15642 16566 18072 19829 20856 22088 24849 31284 33132 36144 39658 41712 44176 49698 59487 62568 66264 79316 99396 118974 125136 132528 158632 178461 198792 218119 237948 317264 356922 397584 436238 475896 654357 713844 872476 951792 1308714 1427688 1744952 1963071 2617428 2855376 3489904 3926142 5234856 7852284 10469712 15704568 31409136