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12653130 = 235789677
BaseRepresentation
bin110000010001…
…001001001010
3212210211211110
4300101021022
511214400010
61131111150
7212356410
oct60211112
925724743
1012653130
117162536
1242a24b6
132810379
1419752b0
15119e120
hexc1124a

12653130 has 64 divisors (see below), whose sum is σ = 35147520. Its totient is φ = 2855424.

The previous prime is 12653129. The next prime is 12653131. The reversal of 12653130 is 3135621.

It is an interprime number because it is at equal distance from previous prime (12653129) and next prime (12653131).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 12653097 and 12653106.

It is not an unprimeable number, because it can be changed into a prime (12653131) 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, 18352 + ... + 19028.

It is an arithmetic number, because the mean of its divisors is an integer number (549180).

Almost surely, 212653130 is an apocalyptic number.

12653130 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 12653130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17573760).

12653130 is an abundant number, since it is smaller than the sum of its proper divisors (22494390).

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

12653130 is a wasteful number, since it uses less digits than its factorization.

12653130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 783.

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 12653130 is about 3557.1238381591. The cubic root of 12653130 is about 233.0232866139.

Adding to 12653130 its reverse (3135621), we get a palindrome (15788751).

The spelling of 12653130 in words is "twelve million, six hundred fifty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 89 105 178 210 267 445 534 623 677 890 1246 1335 1354 1869 2031 2670 3115 3385 3738 4062 4739 6230 6770 9345 9478 10155 14217 18690 20310 23695 28434 47390 60253 71085 120506 142170 180759 301265 361518 421771 602530 843542 903795 1265313 1807590 2108855 2530626 4217710 6326565 12653130