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12258720 = 253258513
BaseRepresentation
bin101110110000…
…110110100000
3212001210210200
4232300312200
511114234340
61114425200
7206124465
oct56606640
925053720
1012258720
116a13181
124132200
1327029a6
1418b166c
151122330
hexbb0da0

12258720 has 72 divisors (see below), whose sum is σ = 41837796. Its totient is φ = 3268608.

The previous prime is 12258703. The next prime is 12258721. The reversal of 12258720 is 2785221.

It can be written as a sum of positive squares in 2 ways, for example, as 11532816 + 725904 = 3396^2 + 852^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (12258721) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 2817 + ... + 5696.

Almost surely, 212258720 is an apocalyptic number.

12258720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12258720 is an abundant number, since it is smaller than the sum of its proper divisors (29579076).

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

12258720 is a wasteful number, since it uses less digits than its factorization.

12258720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8534 (or 8523 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 12258720 is about 3501.2454926783. The cubic root of 12258720 is about 230.5764995946.

The spelling of 12258720 in words is "twelve million, two hundred fifty-eight thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 8513 17026 25539 34052 42565 51078 68104 76617 85130 102156 127695 136208 153234 170260 204312 255390 272416 306468 340520 383085 408624 510780 612936 681040 766170 817248 1021560 1225872 1362080 1532340 2043120 2451744 3064680 4086240 6129360 12258720