Search a number
-
+
31024200 = 23352291783
BaseRepresentation
bin111011001011…
…0010001001000
32011101012012110
41312112101020
530420233300
63024542320
7524462364
oct166262110
964335173
1031024200
111656aa39
12a4819a0
13657321c
1441982a4
152acc550
hex1d96448

31024200 has 96 divisors (see below), whose sum is σ = 99547200. Its totient is φ = 7983360.

The previous prime is 31024193. The next prime is 31024219. The reversal of 31024200 is 242013.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16509 + ... + 18291.

It is an arithmetic number, because the mean of its divisors is an integer number (1036950).

Almost surely, 231024200 is an apocalyptic number.

31024200 is a gapful number since it is divisible by the number (30) 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 31024200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49773600).

31024200 is an abundant number, since it is smaller than the sum of its proper divisors (68523000).

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

31024200 is a wasteful number, since it uses less digits than its factorization.

31024200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1831 (or 1822 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 31024200 is about 5569.9371630208. The cubic root of 31024200 is about 314.2197874310.

Adding to 31024200 its reverse (242013), we get a palindrome (31266213).

The spelling of 31024200 in words is "thirty-one million, twenty-four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 29 30 40 50 58 60 75 87 100 116 120 145 150 174 200 232 290 300 348 435 580 600 696 725 870 1160 1450 1740 1783 2175 2900 3480 3566 4350 5349 5800 7132 8700 8915 10698 14264 17400 17830 21396 26745 35660 42792 44575 51707 53490 71320 89150 103414 106980 133725 155121 178300 206828 213960 258535 267450 310242 356600 413656 517070 534900 620484 775605 1034140 1069800 1240968 1292675 1551210 2068280 2585350 3102420 3878025 5170700 6204840 7756050 10341400 15512100 31024200