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12749130 = 2335232053
BaseRepresentation
bin110000101000…
…100101001010
3212222201112000
4300220211022
511230433010
61133131430
7213236322
oct60504512
925881460
1012749130
117218679
124329b76
132844c84
14199c282
1511bc7c0
hexc2894a

12749130 has 64 divisors (see below), whose sum is σ = 35493120. Its totient is φ = 3250368.

The previous prime is 12749123. The next prime is 12749131. The reversal of 12749130 is 3194721.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 12749094 and 12749103.

It is not an unprimeable number, because it can be changed into a prime (12749131) 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, 5184 + ... + 7236.

It is an arithmetic number, because the mean of its divisors is an integer number (554580).

Almost surely, 212749130 is an apocalyptic number.

12749130 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 12749130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17746560).

12749130 is an abundant number, since it is smaller than the sum of its proper divisors (22743990).

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

12749130 is a wasteful number, since it uses less digits than its factorization.

12749130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2092 (or 2086 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 12749130 is about 3570.5923878259. The cubic root of 12749130 is about 233.6111226681.

It can be divided in two parts, 1274 and 9130, that added together give a square (10404 = 1022).

The spelling of 12749130 in words is "twelve million, seven hundred forty-nine thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 30 45 46 54 69 90 115 135 138 207 230 270 345 414 621 690 1035 1242 2053 2070 3105 4106 6159 6210 10265 12318 18477 20530 30795 36954 47219 55431 61590 92385 94438 110862 141657 184770 236095 277155 283314 424971 472190 554310 708285 849942 1274913 1416570 2124855 2549826 4249710 6374565 12749130