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12490830 = 23251123137
BaseRepresentation
bin101111101001…
…100001001110
3212111121012100
4233221201032
511144201310
61123415530
7211112262
oct57514116
925447170
1012490830
117061600
1242245a6
132784531
1419320a2
15116aec0
hexbe984e

12490830 has 144 divisors (see below), whose sum is σ = 37844352. Its totient is φ = 2851200.

The previous prime is 12490823. The next prime is 12490837. The reversal of 12490830 is 3809421.

It is an interprime number because it is at equal distance from previous prime (12490823) and next prime (12490837).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12490794 and 12490803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12490837) 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 71 ways as a sum of consecutive naturals, for example, 337572 + ... + 337608.

It is an arithmetic number, because the mean of its divisors is an integer number (262808).

Almost surely, 212490830 is an apocalyptic number.

12490830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12490830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18922176).

12490830 is an abundant number, since it is smaller than the sum of its proper divisors (25353522).

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

12490830 is a wasteful number, since it uses less digits than its factorization.

12490830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 12490830 is about 3534.2368341694. The cubic root of 12490830 is about 232.0226766380.

The spelling of 12490830 in words is "twelve million, four hundred ninety thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 31 33 37 45 55 62 66 74 90 93 99 110 111 121 155 165 185 186 198 222 242 279 310 330 333 341 363 370 407 465 495 555 558 605 666 682 726 814 930 990 1023 1089 1110 1147 1210 1221 1395 1665 1705 1815 2035 2046 2178 2294 2442 2790 3069 3330 3410 3441 3630 3663 3751 4070 4477 5115 5445 5735 6105 6138 6882 7326 7502 8954 10230 10323 10890 11253 11470 12210 12617 13431 15345 17205 18315 18755 20646 22385 22506 25234 26862 30690 33759 34410 36630 37510 37851 40293 44770 51615 56265 63085 67155 67518 75702 80586 103230 112530 113553 126170 134310 138787 168795 189255 201465 227106 277574 337590 378510 402930 416361 567765 693935 832722 1135530 1249083 1387870 2081805 2498166 4163610 6245415 12490830