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31013440 = 265175701
BaseRepresentation
bin111011001001…
…1101001000000
32011100122102221
41312103221000
530414412230
63024420424
7524416123
oct166235100
964318387
1031013440
1116562947
12a477714
13656b363
1441943ba
152ac927a
hex1d93a40

31013440 has 56 divisors (see below), whose sum is σ = 78208632. Its totient is φ = 11673600.

The previous prime is 31013431. The next prime is 31013461. The reversal of 31013440 is 4431013.

It can be written as a sum of positive squares in 4 ways, for example, as 11723776 + 19289664 = 3424^2 + 4392^2 .

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

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2590 + ... + 8290.

Almost surely, 231013440 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 31013440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39104316).

31013440 is an abundant number, since it is smaller than the sum of its proper divisors (47195192).

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

31013440 is a wasteful number, since it uses less digits than its factorization.

31013440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5735 (or 5725 counting only the distinct ones).

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

The square root of 31013440 is about 5568.9711796704. The cubic root of 31013440 is about 314.1834566971.

Adding to 31013440 its reverse (4431013), we get a palindrome (35444453).

The spelling of 31013440 in words is "thirty-one million, thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 136 160 170 272 320 340 544 680 1088 1360 2720 5440 5701 11402 22804 28505 45608 57010 91216 96917 114020 182432 193834 228040 364864 387668 456080 484585 775336 912160 969170 1550672 1824320 1938340 3101344 3876680 6202688 7753360 15506720 31013440