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12880530 = 232513101109
BaseRepresentation
bin110001001000…
…101010010010
3220020101202200
4301020222102
511244134110
61140024030
7214324365
oct61105222
926211680
1012880530
1172a8373
124392016
13288ca20
1419d40dc
1511e66c0
hexc48a92

12880530 has 96 divisors (see below), whose sum is σ = 36756720. Its totient is φ = 3110400.

The previous prime is 12880523. The next prime is 12880559. The reversal of 12880530 is 3508821.

It is a happy number.

12880530 is a `hidden beast` number, since 128 + 8 + 0 + 530 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 8071281 + 4809249 = 2841^2 + 2193^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12880494 and 12880503.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 118116 + ... + 118224.

Almost surely, 212880530 is an apocalyptic number.

12880530 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 12880530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18378360).

12880530 is an abundant number, since it is smaller than the sum of its proper divisors (23876190).

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

12880530 is a wasteful number, since it uses less digits than its factorization.

12880530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 12880530 is about 3588.9455275888. The cubic root of 12880530 is about 234.4109587494.

The spelling of 12880530 in words is "twelve million, eight hundred eighty thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 101 109 117 130 195 202 218 234 303 327 390 505 545 585 606 654 909 981 1010 1090 1170 1313 1417 1515 1635 1818 1962 2626 2834 3030 3270 3939 4251 4545 4905 6565 7085 7878 8502 9090 9810 11009 11817 12753 13130 14170 19695 21255 22018 23634 25506 33027 39390 42510 55045 59085 63765 66054 99081 110090 118170 127530 143117 165135 198162 286234 330270 429351 495405 715585 858702 990810 1288053 1431170 2146755 2576106 4293510 6440265 12880530