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12652420 = 22511172199
BaseRepresentation
bin110000010000…
…111110000100
3212210210212011
4300100332010
511214334140
61131104004
7212354344
oct60207604
925723764
1012652420
117161a50
1242a2004
13280cc51
141974d24
15119dcea
hexc10f84

12652420 has 72 divisors (see below), whose sum is σ = 30945600. Its totient is φ = 4308480.

The previous prime is 12652397. The next prime is 12652427. The reversal of 12652420 is 2425621.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 12652391 and 12652400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12652427) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63481 + ... + 63679.

It is an arithmetic number, because the mean of its divisors is an integer number (429800).

Almost surely, 212652420 is an apocalyptic number.

12652420 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 12652420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15472800).

12652420 is an abundant number, since it is smaller than the sum of its proper divisors (18293180).

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

12652420 is a wasteful number, since it uses less digits than its factorization.

12652420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 12652420 is about 3557.0240370287. The cubic root of 12652420 is about 233.0189280183.

The spelling of 12652420 in words is "twelve million, six hundred fifty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 170 187 199 220 289 340 374 398 578 748 796 935 995 1156 1445 1870 1990 2189 2890 3179 3383 3740 3980 4378 5780 6358 6766 8756 10945 12716 13532 15895 16915 21890 31790 33830 37213 43780 57511 63580 67660 74426 115022 148852 186065 230044 287555 372130 575110 632621 744260 1150220 1265242 2530484 3163105 6326210 12652420