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12200520 = 2335293347
BaseRepresentation
bin101110100010…
…101001001000
3211221211222010
4232202221020
511110404040
61113255520
7205463013
oct56425110
924854863
1012200520
116983482
1241045a0
1326b2357
14189837a
15110ee80
hexba2a48

12200520 has 64 divisors (see below), whose sum is σ = 36832320. Its totient is φ = 3233024.

The previous prime is 12200483. The next prime is 12200521. The reversal of 12200520 is 2500221.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 12200496 and 12200505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12200521) 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, 34987 + ... + 35333.

It is an arithmetic number, because the mean of its divisors is an integer number (575505).

Almost surely, 212200520 is an apocalyptic number.

12200520 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 12200520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18416160).

12200520 is an abundant number, since it is smaller than the sum of its proper divisors (24631800).

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

12200520 is a wasteful number, since it uses less digits than its factorization.

12200520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 12200520 is about 3492.9242763049. The cubic root of 12200520 is about 230.2110224611.

Adding to 12200520 its reverse (2500221), we get a palindrome (14700741).

It can be divided in two parts, 12200 and 520, that added together give a triangular number (12720 = T159).

The spelling of 12200520 in words is "twelve million, two hundred thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 293 347 586 694 879 1041 1172 1388 1465 1735 1758 2082 2344 2776 2930 3470 3516 4164 4395 5205 5860 6940 7032 8328 8790 10410 11720 13880 17580 20820 35160 41640 101671 203342 305013 406684 508355 610026 813368 1016710 1220052 1525065 2033420 2440104 3050130 4066840 6100260 12200520