Search a number
-
+
31628040 = 2335263567
BaseRepresentation
bin111100010100…
…1101100001000
32012111212111220
41320221230020
531044044130
63045522040
7532556013
oct170515410
965455456
1031628040
1116942684
12a713320
136725022
1442b437a
152b9b410
hex1e29b08

31628040 has 32 divisors (see below), whose sum is σ = 94884480. Its totient is φ = 8434112.

The previous prime is 31628021. The next prime is 31628089. The reversal of 31628040 is 4082613.

It is a happy number.

31628040 is nontrivially palindromic in base 9.

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

It is a self number, because there is not a number n which added to its sum of digits gives 31628040.

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 7 ways as a sum of consecutive naturals, for example, 131664 + ... + 131903.

It is an arithmetic number, because the mean of its divisors is an integer number (2965140).

Almost surely, 231628040 is an apocalyptic number.

31628040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31628040 is an abundant number, since it is smaller than the sum of its proper divisors (63256440).

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

31628040 is a wasteful number, since it uses less digits than its factorization.

31628040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263581 (or 263577 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 31628040 is about 5623.8812220743. The cubic root of 31628040 is about 316.2453097046.

The spelling of 31628040 in words is "thirty-one million, six hundred twenty-eight thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 263567 527134 790701 1054268 1317835 1581402 2108536 2635670 3162804 3953505 5271340 6325608 7907010 10542680 15814020 31628040