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31352020 = 2257239937
BaseRepresentation
bin111011110011…
…0010011010100
32011222211212221
41313212103110
531011231040
63035552124
7530326210
oct167462324
964884787
1031352020
1116774267
12a5bb644
1366594bb
144241940
152b4474a
hex1de64d4

31352020 has 48 divisors (see below), whose sum is σ = 75640320. Its totient is φ = 10692864.

The previous prime is 31352011. The next prime is 31352021. The reversal of 31352020 is 2025313.

It is a junction number, because it is equal to n+sod(n) for n = 31351985 and 31352003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31352021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32992 + ... + 33928.

It is an arithmetic number, because the mean of its divisors is an integer number (1575840).

Almost surely, 231352020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31352020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37820160).

31352020 is an abundant number, since it is smaller than the sum of its proper divisors (44288300).

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

31352020 is a wasteful number, since it uses less digits than its factorization.

31352020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1192 (or 1190 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 31352020 is about 5599.2874546678. The cubic root of 31352020 is about 315.3226558679.

Adding to 31352020 its reverse (2025313), we get a palindrome (33377333).

The spelling of 31352020 in words is "thirty-one million, three hundred fifty-two thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 239 478 937 956 1195 1673 1874 2390 3346 3748 4685 4780 6559 6692 8365 9370 13118 16730 18740 26236 32795 33460 65590 131180 223943 447886 895772 1119715 1567601 2239430 3135202 4478860 6270404 7838005 15676010 31352020