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31260040 = 2357241389
BaseRepresentation
bin111011100111…
…1110110001000
32011211011201021
41313033312020
531000310130
63034002224
7526464100
oct167176610
964734637
1031260040
1116711149
12a576374
136626686
14421a200
152b2737a
hex1dcfd88

31260040 has 96 divisors (see below), whose sum is σ = 84029400. Its totient is φ = 10429440.

The previous prime is 31260037. The next prime is 31260049. The reversal of 31260040 is 4006213.

31260040 = T83 + T84 + ... + T572.

It can be written as a sum of positive squares in 4 ways, for example, as 12545764 + 18714276 = 3542^2 + 4326^2 .

It is a junction number, because it is equal to n+sod(n) for n = 31259996 and 31260023.

It is not an unprimeable number, because it can be changed into a prime (31260049) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80166 + ... + 80554.

Almost surely, 231260040 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 31260040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42014700).

31260040 is an abundant number, since it is smaller than the sum of its proper divisors (52769360).

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

31260040 is a wasteful number, since it uses less digits than its factorization.

31260040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 31260040 is about 5591.0678765331. The cubic root of 31260040 is about 315.0139911481.

Adding to 31260040 its reverse (4006213), we get a palindrome (35266253).

The spelling of 31260040 in words is "thirty-one million, two hundred sixty thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 41 49 56 70 82 98 140 164 196 205 245 280 287 328 389 392 410 490 574 778 820 980 1148 1435 1556 1640 1945 1960 2009 2296 2723 2870 3112 3890 4018 5446 5740 7780 8036 10045 10892 11480 13615 15560 15949 16072 19061 20090 21784 27230 31898 38122 40180 54460 63796 76244 79745 80360 95305 108920 111643 127592 152488 159490 190610 223286 318980 381220 446572 558215 637960 762440 781501 893144 1116430 1563002 2232860 3126004 3907505 4465720 6252008 7815010 15630020 31260040