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31327040 = 265223439
BaseRepresentation
bin111011110000…
…0001101000000
32011221120121202
41313200031000
531004431130
63035240332
7530163323
oct167401500
964846552
1031327040
1116757518
12a5a90a8
13664b014
1442367ba
152b3c145
hex1de0340

31327040 has 56 divisors (see below), whose sum is σ = 75102720. Its totient is φ = 12446208.

The previous prime is 31327033. The next prime is 31327057. The reversal of 31327040 is 4072313.

31327040 = T129 + T130 + ... + T574.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71141 + ... + 71579.

It is an arithmetic number, because the mean of its divisors is an integer number (1341120).

Almost surely, 231327040 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 31327040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37551360).

31327040 is an abundant number, since it is smaller than the sum of its proper divisors (43775680).

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

31327040 is a wasteful number, since it uses less digits than its factorization.

31327040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 20.

The square root of 31327040 is about 5597.0563691998. The cubic root of 31327040 is about 315.2388882422.

Adding to 31327040 its reverse (4072313), we get a palindrome (35399353).

The spelling of 31327040 in words is "thirty-one million, three hundred twenty-seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 223 320 439 446 878 892 1115 1756 1784 2195 2230 3512 3568 4390 4460 7024 7136 8780 8920 14048 14272 17560 17840 28096 35120 35680 70240 71360 97897 140480 195794 391588 489485 783176 978970 1566352 1957940 3132704 3915880 6265408 7831760 15663520 31327040