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31516420 = 22513432819
BaseRepresentation
bin111100000111…
…0011100000100
32012022012101211
41320032130010
531032011140
63043301204
7531612415
oct170163404
965265354
1031516420
1116876831
12a67a804
1366b6290
14428580c
152b782ea
hex1e0e704

31516420 has 48 divisors (see below), whose sum is σ = 72959040. Its totient is φ = 11362176.

The previous prime is 31516411. The next prime is 31516423. The reversal of 31516420 is 2461513.

It is a junction number, because it is equal to n+sod(n) for n = 31516391 and 31516400.

It is not an unprimeable number, because it can be changed into a prime (31516423) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 9771 + ... + 12589.

It is an arithmetic number, because the mean of its divisors is an integer number (1519980).

Almost surely, 231516420 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 31516420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36479520).

31516420 is an abundant number, since it is smaller than the sum of its proper divisors (41442620).

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

31516420 is a wasteful number, since it uses less digits than its factorization.

31516420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2884 (or 2882 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 31516420 is about 5613.9486994450. The cubic root of 31516420 is about 315.8728458134.

Adding to 31516420 its reverse (2461513), we get a palindrome (33977933).

The spelling of 31516420 in words is "thirty-one million, five hundred sixteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 43 52 65 86 130 172 215 260 430 559 860 1118 2236 2795 2819 5590 5638 11180 11276 14095 28190 36647 56380 73294 121217 146588 183235 242434 366470 484868 606085 732940 1212170 1575821 2424340 3151642 6303284 7879105 15758210 31516420