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12736020 = 22351123839
BaseRepresentation
bin110000100101…
…011000010100
3212222001112110
4300211120110
511230023040
61132551020
7213153153
oct60453024
925861473
1012736020
117209840
124322470
13283c00b
14199759a
1511b8980
hexc25614

12736020 has 96 divisors (see below), whose sum is σ = 40642560. Its totient is φ = 2949760.

The previous prime is 12736019. The next prime is 12736027. The reversal of 12736020 is 2063721.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12736027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14761 + ... + 15599.

It is an arithmetic number, because the mean of its divisors is an integer number (423360).

Almost surely, 212736020 is an apocalyptic number.

12736020 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 12736020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20321280).

12736020 is an abundant number, since it is smaller than the sum of its proper divisors (27906540).

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

12736020 is a wasteful number, since it uses less digits than its factorization.

12736020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 885 (or 883 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 12736020 is about 3568.7560858092. The cubic root of 12736020 is about 233.5310206744.

Adding to 12736020 its reverse (2063721), we get a palindrome (14799741).

The spelling of 12736020 in words is "twelve million, seven hundred thirty-six thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 23 30 33 44 46 55 60 66 69 92 110 115 132 138 165 220 230 253 276 330 345 460 506 660 690 759 839 1012 1265 1380 1518 1678 2517 2530 3036 3356 3795 4195 5034 5060 7590 8390 9229 10068 12585 15180 16780 18458 19297 25170 27687 36916 38594 46145 50340 55374 57891 77188 92290 96485 110748 115782 138435 184580 192970 212267 231564 276870 289455 385940 424534 553740 578910 636801 849068 1061335 1157820 1273602 2122670 2547204 3184005 4245340 6368010 12736020