Search a number
-
+
31161300 = 22352241431
BaseRepresentation
bin111011011011…
…1101111010100
32011122011021020
41312313233110
530434130200
63031521140
7525603162
oct166675724
964564236
1031161300
1116653a45
12a5291b0
1365c0751
1441d2232
152b07ea0
hex1db7bd4

31161300 has 72 divisors (see below), whose sum is σ = 90744192. Its totient is φ = 8256000.

The previous prime is 31161287. The next prime is 31161307. The reversal of 31161300 is 316113.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 31161300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31161307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72085 + ... + 72515.

It is an arithmetic number, because the mean of its divisors is an integer number (1260336).

Almost surely, 231161300 is an apocalyptic number.

31161300 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 31161300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45372096).

31161300 is an abundant number, since it is smaller than the sum of its proper divisors (59582892).

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

31161300 is a wasteful number, since it uses less digits than its factorization.

31161300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 31161300 is about 5582.2307369008. The cubic root of 31161300 is about 314.6819667422.

Adding to 31161300 its reverse (316113), we get a palindrome (31477413).

The spelling of 31161300 in words is "thirty-one million, one hundred sixty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 241 300 431 482 723 862 964 1205 1293 1446 1724 2155 2410 2586 2892 3615 4310 4820 5172 6025 6465 7230 8620 10775 12050 12930 14460 18075 21550 24100 25860 32325 36150 43100 64650 72300 103871 129300 207742 311613 415484 519355 623226 1038710 1246452 1558065 2077420 2596775 3116130 5193550 6232260 7790325 10387100 15580650 31161300