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12573220 = 2251167853
BaseRepresentation
bin101111111101…
…101000100100
3212122210012211
4233331220210
511204320340
61125253204
7211604422
oct57755044
925583184
1012573220
1171084a0
124264204
1327b2b9a
141954112
1511855ea
hexbfda24

12573220 has 48 divisors (see below), whose sum is σ = 29268288. Its totient is φ = 4498560.

The previous prime is 12573199. The next prime is 12573221. The reversal of 12573220 is 2237521.

It is a super-2 number, since 2×125732202 = 316171722336800, which contains 22 as substring.

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 = 12573191 and 12573200.

It is not an unprimeable number, because it can be changed into a prime (12573221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14314 + ... + 15166.

It is an arithmetic number, because the mean of its divisors is an integer number (609756).

Almost surely, 212573220 is an apocalyptic number.

12573220 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 12573220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14634144).

12573220 is an abundant number, since it is smaller than the sum of its proper divisors (16695068).

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

12573220 is a wasteful number, since it uses less digits than its factorization.

12573220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 940 (or 938 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 12573220 is about 3545.8736582118. The cubic root of 12573220 is about 232.5317026181.

The spelling of 12573220 in words is "twelve million, five hundred seventy-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 67 110 134 220 268 335 670 737 853 1340 1474 1706 2948 3412 3685 4265 7370 8530 9383 14740 17060 18766 37532 46915 57151 93830 114302 187660 228604 285755 571510 628661 1143020 1257322 2514644 3143305 6286610 12573220