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12520000 = 2654313
BaseRepresentation
bin101111110000…
…101001000000
3212120002012201
4233300221000
511201120000
61124202544
7211263313
oct57605100
925502181
1012520000
117081509
124239454
1327948ac
14193c97a
15117496a
hexbf0a40

12520000 has 70 divisors (see below), whose sum is σ = 31144718. Its totient is φ = 4992000.

The previous prime is 12519989. The next prime is 12520003. The reversal of 12520000 is 2521.

It can be written as a sum of positive squares in 5 ways, for example, as 9193024 + 3326976 = 3032^2 + 1824^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12520003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 39844 + ... + 40156.

Almost surely, 212520000 is an apocalyptic number.

12520000 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 12520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15572359).

12520000 is an abundant number, since it is smaller than the sum of its proper divisors (18624718).

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

12520000 is an frugal number, since it uses more digits than its factorization.

12520000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 12520000 is about 3538.3612025908. The cubic root of 12520000 is about 232.2031514278.

Adding to 12520000 its reverse (2521), we get a palindrome (12522521).

The spelling of 12520000 in words is "twelve million, five hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 313 320 400 500 625 626 800 1000 1250 1252 1565 1600 2000 2500 2504 3130 4000 5000 5008 6260 7825 8000 10000 10016 12520 15650 20000 20032 25040 31300 39125 40000 50080 62600 78250 100160 125200 156500 195625 250400 313000 391250 500800 626000 782500 1252000 1565000 2504000 3130000 6260000 12520000