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31005520 = 2457134259
BaseRepresentation
bin111011001000…
…1101101010000
32011100020120121
41312101231100
530414134040
63024320024
7524354050
oct166215520
964306517
1031005520
11165579a7
12a473014
136567880
144191560
152ac6c4a
hex1d91b50

31005520 has 80 divisors (see below), whose sum is σ = 88744320. Its totient is φ = 9810432.

The previous prime is 31005517. The next prime is 31005521. The reversal of 31005520 is 2550013.

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

It is a super-2 number, since 2×310055202 = 1922684540940800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 31005494 and 31005503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31005521) 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, 5151 + ... + 9409.

It is an arithmetic number, because the mean of its divisors is an integer number (1109304).

Almost surely, 231005520 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 31005520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44372160).

31005520 is an abundant number, since it is smaller than the sum of its proper divisors (57738800).

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

31005520 is a wasteful number, since it uses less digits than its factorization.

31005520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4292 (or 4286 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 16.

The square root of 31005520 is about 5568.2600513985. The cubic root of 31005520 is about 314.1567097467.

Adding to 31005520 its reverse (2550013), we get a palindrome (33555533).

The spelling of 31005520 in words is "thirty-one million, five thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 104 112 130 140 182 208 260 280 364 455 520 560 728 910 1040 1456 1820 3640 4259 7280 8518 17036 21295 29813 34072 42590 55367 59626 68144 85180 110734 119252 149065 170360 221468 238504 276835 298130 340720 387569 442936 477008 553670 596260 775138 885872 1107340 1192520 1550276 1937845 2214680 2385040 3100552 3875690 4429360 6201104 7751380 15502760 31005520