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12701340 = 2233543547
BaseRepresentation
bin110000011100…
…111010011100
3212220021222000
4300130322130
511222420330
61132122300
7212650101
oct60347234
925807860
1012701340
117195783
124306390
1328292b2
141988aa8
1511ad560
hexc1ce9c

12701340 has 96 divisors (see below), whose sum is σ = 40508160. Its totient is φ = 3302208.

The previous prime is 12701321. The next prime is 12701341. The reversal of 12701340 is 4310721.

12701340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×127013402 = 322648075591200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12701341) 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, 22947 + ... + 23493.

It is an arithmetic number, because the mean of its divisors is an integer number (421960).

Almost surely, 212701340 is an apocalyptic number.

12701340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12701340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20254080).

12701340 is an abundant number, since it is smaller than the sum of its proper divisors (27806820).

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

12701340 is a wasteful number, since it uses less digits than its factorization.

12701340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 12701340 is about 3563.8939378158. The cubic root of 12701340 is about 233.3188607804.

It can be divided in two parts, 12701 and 340, that added together give a triangular number (13041 = T161).

The spelling of 12701340 in words is "twelve million, seven hundred one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 43 45 54 60 86 90 108 129 135 172 180 215 258 270 387 430 516 540 547 645 774 860 1094 1161 1290 1548 1641 1935 2188 2322 2580 2735 3282 3870 4644 4923 5470 5805 6564 7740 8205 9846 10940 11610 14769 16410 19692 23220 23521 24615 29538 32820 47042 49230 59076 70563 73845 94084 98460 117605 141126 147690 211689 235210 282252 295380 352815 423378 470420 635067 705630 846756 1058445 1270134 1411260 2116890 2540268 3175335 4233780 6350670 12701340