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12258840 = 23351137251
BaseRepresentation
bin101110110000…
…111000011000
3212001210222010
4232300320120
511114240330
61114425520
7206125026
oct56607030
925053863
1012258840
116a13280
1241322a0
132702a69
1418b1716
1511223b0
hexbb0e18

12258840 has 128 divisors (see below), whose sum is σ = 41368320. Its totient is φ = 2880000.

The previous prime is 12258833. The next prime is 12258859. The reversal of 12258840 is 4885221.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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 = 12258798 and 12258807.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48715 + ... + 48965.

It is an arithmetic number, because the mean of its divisors is an integer number (323190).

Almost surely, 212258840 is an apocalyptic number.

12258840 is a gapful number since it is divisible by the number (10) 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 12258840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20684160).

12258840 is an abundant number, since it is smaller than the sum of its proper divisors (29109480).

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

12258840 is a wasteful number, since it uses less digits than its factorization.

12258840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 12258840 is about 3501.2626293953. The cubic root of 12258840 is about 230.5772519595.

It can be divided in two parts, 12 and 258840, that added together give a palindrome (258852).

The spelling of 12258840 in words is "twelve million, two hundred fifty-eight thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 37 40 44 55 60 66 74 88 110 111 120 132 148 165 185 220 222 251 264 296 330 370 407 440 444 502 555 660 740 753 814 888 1004 1110 1221 1255 1320 1480 1506 1628 2008 2035 2220 2442 2510 2761 3012 3256 3765 4070 4440 4884 5020 5522 6024 6105 7530 8140 8283 9287 9768 10040 11044 12210 13805 15060 16280 16566 18574 22088 24420 27610 27861 30120 33132 37148 41415 46435 48840 55220 55722 66264 74296 82830 92870 102157 110440 111444 139305 165660 185740 204314 222888 278610 306471 331320 371480 408628 510785 557220 612942 817256 1021570 1114440 1225884 1532355 2043140 2451768 3064710 4086280 6129420 12258840