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31481940 = 22357233259
BaseRepresentation
bin111100000011…
…0000001010100
32012020110002210
41320012001110
531024410230
63042433420
7531410040
oct170060124
965213083
1031481940
1116852936
12a662870
1366a3689
144277020
152b6ceb0
hex1e06054

31481940 has 96 divisors (see below), whose sum is σ = 105154560. Its totient is φ = 6880896.

The previous prime is 31481939. The next prime is 31481951. The reversal of 31481940 is 4918413.

It is a happy number.

It is a super-2 number, since 2×314819402 = 1982225092327200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 31481898 and 31481907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8031 + ... + 11289.

It is an arithmetic number, because the mean of its divisors is an integer number (1095360).

Almost surely, 231481940 is an apocalyptic number.

31481940 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 31481940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52577280).

31481940 is an abundant number, since it is smaller than the sum of its proper divisors (73672620).

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

31481940 is a wasteful number, since it uses less digits than its factorization.

31481940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3301 (or 3299 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 31481940 is about 5610.8769368077. The cubic root of 31481940 is about 315.7576120193.

The spelling of 31481940 in words is "thirty-one million, four hundred eighty-one thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 23 28 30 35 42 46 60 69 70 84 92 105 115 138 140 161 210 230 276 322 345 420 460 483 644 690 805 966 1380 1610 1932 2415 3220 3259 4830 6518 9660 9777 13036 16295 19554 22813 32590 39108 45626 48885 65180 68439 74957 91252 97770 114065 136878 149914 195540 224871 228130 273756 299828 342195 374785 449742 456260 524699 684390 749570 899484 1049398 1124355 1368780 1499140 1574097 2098796 2248710 2623495 3148194 4497420 5246990 6296388 7870485 10493980 15740970 31481940