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31004190 = 23257291697
BaseRepresentation
bin111011001000…
…1011000011110
32011100011202100
41312101120132
530414113230
63024305530
7524350140
oct166213036
964304670
1031004190
11165569a8
12a4722a6
136567099
144190c90
152ac6660
hex1d9161e

31004190 has 96 divisors (see below), whose sum is σ = 95359680. Its totient is φ = 6838272.

The previous prime is 31004177. The next prime is 31004191. The reversal of 31004190 is 9140013.

It is a super-2 number, since 2×310041902 = 1922519595112200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31004191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17422 + ... + 19118.

It is an arithmetic number, because the mean of its divisors is an integer number (993330).

Almost surely, 231004190 is an apocalyptic number.

31004190 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 31004190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47679840).

31004190 is an abundant number, since it is smaller than the sum of its proper divisors (64355490).

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

31004190 is a wasteful number, since it uses less digits than its factorization.

31004190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1746 (or 1743 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 31004190 is about 5568.1406232242. The cubic root of 31004190 is about 314.1522177036.

The spelling of 31004190 in words is "thirty-one million, four thousand, one hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 29 30 35 42 45 58 63 70 87 90 105 126 145 174 203 210 261 290 315 406 435 522 609 630 870 1015 1218 1305 1697 1827 2030 2610 3045 3394 3654 5091 6090 8485 9135 10182 11879 15273 16970 18270 23758 25455 30546 35637 49213 50910 59395 71274 76365 98426 106911 118790 147639 152730 178185 213822 246065 295278 344491 356370 442917 492130 534555 688982 738195 885834 1033473 1069110 1476390 1722455 2066946 2214585 3100419 3444910 4429170 5167365 6200838 10334730 15502095 31004190