Search a number
-
+
31868136 = 2332499887
BaseRepresentation
bin111100110010…
…0010011101000
32012222001212100
41321210103220
531124240021
63055013400
7534606006
oct171442350
965861770
1031868136
1116a97003
12a80a260
1367aa3b1
144337a76
152be7626
hex1e644e8

31868136 has 48 divisors (see below), whose sum is σ = 86580000. Its totient is φ = 10589472.

The previous prime is 31868101. The next prime is 31868171. The reversal of 31868136 is 63186813.

31868136 is a nontrivial binomial coefficient, being equal to C(7984, 2).

It is an interprime number because it is at equal distance from previous prime (31868101) and next prime (31868171).

It is a super-2 number, since 2×318681362 = 2031156184228992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 31868136.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35485 + ... + 36371.

It is an arithmetic number, because the mean of its divisors is an integer number (1803750).

Almost surely, 231868136 is an apocalyptic number.

31868136 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

31868136 is the 7983-rd triangular number and also the 3992-nd hexagonal number.

It is an amenable number.

31868136 is an abundant number, since it is smaller than the sum of its proper divisors (54711864).

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

31868136 is a wasteful number, since it uses less digits than its factorization.

31868136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1398 (or 1391 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 31868136 is about 5645.1869765314. The cubic root of 31868136 is about 317.0435244931.

The spelling of 31868136 in words is "thirty-one million, eight hundred sixty-eight thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 499 887 998 1497 1774 1996 2661 2994 3548 3992 4491 5322 5988 7096 7983 8982 10644 11976 15966 17964 21288 31932 35928 63864 442613 885226 1327839 1770452 2655678 3540904 3983517 5311356 7967034 10622712 15934068 31868136