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31123890 = 23257127389
BaseRepresentation
bin111011010111…
…0100110110010
32011120020221200
41312232212302
530431431030
63031032030
7525356130
oct166564662
964506850
1031123890
1116628926
12a50b616
1365a9705
1441c2750
152aebd60
hex1dae9b2

31123890 has 96 divisors (see below), whose sum is σ = 93450240. Its totient is φ = 7039872.

The previous prime is 31123877. The next prime is 31123891. The reversal of 31123890 is 9832113.

It is not an unprimeable number, because it can be changed into a prime (31123891) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79816 + ... + 80204.

It is an arithmetic number, because the mean of its divisors is an integer number (973440).

Almost surely, 231123890 is an apocalyptic number.

31123890 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 31123890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46725120).

31123890 is an abundant number, since it is smaller than the sum of its proper divisors (62326350).

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

31123890 is a wasteful number, since it uses less digits than its factorization.

31123890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 31123890 is about 5578.8789196397. The cubic root of 31123890 is about 314.5559881888. Note that the first 3 decimals are identical.

The spelling of 31123890 in words is "thirty-one million, one hundred twenty-three thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 127 210 254 315 381 389 630 635 762 778 889 1143 1167 1270 1778 1905 1945 2286 2334 2667 2723 3501 3810 3890 4445 5334 5446 5715 5835 7002 8001 8169 8890 11430 11670 13335 13615 16002 16338 17505 24507 26670 27230 35010 40005 40845 49014 49403 80010 81690 98806 122535 148209 245070 247015 296418 345821 444627 494030 691642 741045 889254 1037463 1482090 1729105 2074926 2223135 3112389 3458210 4446270 5187315 6224778 10374630 15561945 31123890