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31744020 = 22357116871
BaseRepresentation
bin111100100011…
…0000000010100
32012201202121110
41321012000110
531111302040
63052215020
7533551110
oct171060024
965652543
1031744020
1116a11830
12a76a470
136765a59
144304740
152bc0980
hex1e46014

31744020 has 96 divisors (see below), whose sum is σ = 110831616. Its totient is φ = 6595200.

The previous prime is 31744007. The next prime is 31744021. The reversal of 31744020 is 2044713.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31744021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1185 + ... + 8055.

It is an arithmetic number, because the mean of its divisors is an integer number (1154496).

Almost surely, 231744020 is an apocalyptic number.

31744020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31744020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55415808).

31744020 is an abundant number, since it is smaller than the sum of its proper divisors (79087596).

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

31744020 is a wasteful number, since it uses less digits than its factorization.

31744020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6901 (or 6899 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 31744020 is about 5634.1831706113. The cubic root of 31744020 is about 316.6313952713.

Adding to 31744020 its reverse (2044713), we get a palindrome (33788733).

The spelling of 31744020 in words is "thirty-one million, seven hundred forty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 28 30 33 35 42 44 55 60 66 70 77 84 105 110 132 140 154 165 210 220 231 308 330 385 420 462 660 770 924 1155 1540 2310 4620 6871 13742 20613 27484 34355 41226 48097 68710 75581 82452 96194 103065 137420 144291 151162 192388 206130 226743 240485 288582 302324 377905 412260 453486 480970 529067 577164 721455 755810 906972 961940 1058134 1133715 1442910 1511620 1587201 2116268 2267430 2645335 2885820 3174402 4534860 5290670 6348804 7936005 10581340 15872010 31744020