Search a number
-
+
12252630 = 2351389353
BaseRepresentation
bin101110101111…
…010111010110
3212001111110010
4232233113112
511114041010
61114341050
7206100645
oct56572726
925044403
1012252630
116a09645
12412a786
1326ccca0
1418ad35c
151120620
hexbaf5d6

12252630 has 64 divisors (see below), whose sum is σ = 32114880. Its totient is φ = 2973696.

The previous prime is 12252619. The next prime is 12252637. The reversal of 12252630 is 3625221.

It is a junction number, because it is equal to n+sod(n) for n = 12252597 and 12252606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12252637) 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, 34534 + ... + 34886.

It is an arithmetic number, because the mean of its divisors is an integer number (501795).

Almost surely, 212252630 is an apocalyptic number.

12252630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12252630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16057440).

12252630 is an abundant number, since it is smaller than the sum of its proper divisors (19862250).

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

12252630 is a wasteful number, since it uses less digits than its factorization.

12252630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465.

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 12252630 is about 3500.3756941220. The cubic root of 12252630 is about 230.5383106299.

Adding to 12252630 its reverse (3625221), we get a palindrome (15877851).

The spelling of 12252630 in words is "twelve million, two hundred fifty-two thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 89 130 178 195 267 353 390 445 534 706 890 1059 1157 1335 1765 2118 2314 2670 3471 3530 4589 5295 5785 6942 9178 10590 11570 13767 17355 22945 27534 31417 34710 45890 62834 68835 94251 137670 157085 188502 314170 408421 471255 816842 942510 1225263 2042105 2450526 4084210 6126315 12252630