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31263930 = 23251947389
BaseRepresentation
bin111011101000…
…0110010111010
32011211101001100
41313100302322
531000421210
63034032230
7526511325
oct167206272
964741040
1031263930
1116714065
12a578676
136628389
14421b7bc
152b285c0
hex1dd0cba

31263930 has 96 divisors (see below), whose sum is σ = 87609600. Its totient is φ = 7710336.

The previous prime is 31263917. The next prime is 31263941. The reversal of 31263930 is 3936213.

It is a junction number, because it is equal to n+sod(n) for n = 31263894 and 31263903.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 80176 + ... + 80564.

It is an arithmetic number, because the mean of its divisors is an integer number (912600).

Almost surely, 231263930 is an apocalyptic number.

31263930 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31263930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43804800).

31263930 is an abundant number, since it is smaller than the sum of its proper divisors (56345670).

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

31263930 is a wasteful number, since it uses less digits than its factorization.

31263930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The square root of 31263930 is about 5591.4157420102. The cubic root of 31263930 is about 315.0270573886.

It can be divided in two parts, 3126 and 3930, that added together give a square (7056 = 842).

The spelling of 31263930 in words is "thirty-one million, two hundred sixty-three thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 47 57 90 94 95 114 141 171 190 235 282 285 342 389 423 470 570 705 778 846 855 893 1167 1410 1710 1786 1945 2115 2334 2679 3501 3890 4230 4465 5358 5835 7002 7391 8037 8930 11670 13395 14782 16074 17505 18283 22173 26790 35010 36566 36955 40185 44346 54849 66519 73910 80370 91415 109698 110865 133038 164547 182830 221730 274245 329094 332595 347377 548490 665190 694754 822735 1042131 1645470 1736885 2084262 3126393 3473770 5210655 6252786 10421310 15631965 31263930