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12946470 = 2352329647
BaseRepresentation
bin110001011000…
…110000100110
3220100202012220
4301120300212
511303241340
61141253210
7215020545
oct61306046
926322186
1012946470
117342969
124404206
1328b3a44
141a1015c
15120aed0
hexc58c26

12946470 has 64 divisors (see below), whose sum is σ = 33592320. Its totient is φ = 3183488.

The previous prime is 12946463. The next prime is 12946471. The reversal of 12946470 is 7464921.

12946470 = T348 + T349 + ... + T492.

It is a happy number.

It is a super-2 number, since 2×129464702 = 335222170921800, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12946471) 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, 19687 + ... + 20333.

It is an arithmetic number, because the mean of its divisors is an integer number (524880).

Almost surely, 212946470 is an apocalyptic number.

12946470 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 12946470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16796160).

12946470 is an abundant number, since it is smaller than the sum of its proper divisors (20645850).

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

12946470 is a wasteful number, since it uses less digits than its factorization.

12946470 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709.

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 12946470 is about 3598.1203426234. The cubic root of 12946470 is about 234.8102890219.

The spelling of 12946470 in words is "twelve million, nine hundred forty-six thousand, four hundred seventy".

Divisors: 1 2 3 5 6 10 15 23 29 30 46 58 69 87 115 138 145 174 230 290 345 435 647 667 690 870 1294 1334 1941 2001 3235 3335 3882 4002 6470 6670 9705 10005 14881 18763 19410 20010 29762 37526 44643 56289 74405 89286 93815 112578 148810 187630 223215 281445 431549 446430 562890 863098 1294647 2157745 2589294 4315490 6473235 12946470