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31020240 = 2435177603
BaseRepresentation
bin111011001010…
…1010011010000
32011100222202210
41312111103100
530420121430
63024512120
7524445006
oct166252320
964328683
1031020240
1116567a69
12a47b640
136571494
144196a76
152acb2b0
hex1d954d0

31020240 has 80 divisors (see below), whose sum is σ = 101832768. Its totient is φ = 7784448.

The previous prime is 31020233. The next prime is 31020247. The reversal of 31020240 is 4202013.

It is an interprime number because it is at equal distance from previous prime (31020233) and next prime (31020247).

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31020247) 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, 279 + ... + 7881.

Almost surely, 231020240 is an apocalyptic number.

31020240 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 31020240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50916384).

31020240 is an abundant number, since it is smaller than the sum of its proper divisors (70812528).

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

31020240 is a wasteful number, since it uses less digits than its factorization.

31020240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7636 (or 7630 counting only the distinct ones).

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

The square root of 31020240 is about 5569.5816719032. The cubic root of 31020240 is about 314.2064176175.

Adding to 31020240 its reverse (4202013), we get a palindrome (35222253).

The spelling of 31020240 in words is "thirty-one million, twenty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 680 816 1020 1360 2040 4080 7603 15206 22809 30412 38015 45618 60824 76030 91236 114045 121648 129251 152060 182472 228090 258502 304120 364944 387753 456180 517004 608240 646255 775506 912360 1034008 1292510 1551012 1824720 1938765 2068016 2585020 3102024 3877530 5170040 6204048 7755060 10340080 15510120 31020240