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12056040 = 23345612
BaseRepresentation
bin101101111111…
…010111101000
3211200111210000
4231333113220
511041243130
61110223000
7204321543
oct55772750
924614700
1012056040
116894977
124054a60
132661669
14185b85a
1510d2260
hexb7f5e8

12056040 has 120 divisors (see below), whose sum is σ = 41196870. Its totient is φ = 3162240.

The previous prime is 12056027. The next prime is 12056041. The reversal of 12056040 is 4065021.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 2802276 + 9253764 = 1674^2 + 3042^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (12056041) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 197610 + ... + 197670.

Almost surely, 212056040 is an apocalyptic number.

12056040 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 12056040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20598435).

12056040 is an abundant number, since it is smaller than the sum of its proper divisors (29140830).

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

12056040 is an equidigital number, since it uses as much as digits as its factorization.

12056040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 12056040 is about 3472.1808708649. The cubic root of 12056040 is about 229.2986828695.

The spelling of 12056040 in words is "twelve million, fifty-six thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 61 72 81 90 108 120 122 135 162 180 183 216 244 270 305 324 360 366 405 488 540 549 610 648 732 810 915 1080 1098 1220 1464 1620 1647 1830 2196 2440 2745 3240 3294 3660 3721 4392 4941 5490 6588 7320 7442 8235 9882 10980 11163 13176 14884 16470 18605 19764 21960 22326 24705 29768 32940 33489 37210 39528 44652 49410 55815 65880 66978 74420 89304 98820 100467 111630 133956 148840 167445 197640 200934 223260 267912 301401 334890 401868 446520 502335 602802 669780 803736 1004670 1205604 1339560 1507005 2009340 2411208 3014010 4018680 6028020 12056040