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12697380 = 22325233067
BaseRepresentation
bin110000011011…
…111100100100
3212220002112100
4300123330210
511222304010
61132052100
7212632413
oct60337444
925802470
1012697380
117192803
124304030
132827557
14198747a
1511ac2c0
hexc1bf24

12697380 has 72 divisors (see below), whose sum is σ = 40203072. Its totient is φ = 3237696.

The previous prime is 12697367. The next prime is 12697393. The reversal of 12697380 is 8379621.

12697380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12697367) and next prime (12697393).

It is a super-2 number, since 2×126973802 = 322446917728800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2607 + ... + 5673.

It is an arithmetic number, because the mean of its divisors is an integer number (558376).

Almost surely, 212697380 is an apocalyptic number.

12697380 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 12697380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20101536).

12697380 is an abundant number, since it is smaller than the sum of its proper divisors (27505692).

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

12697380 is a wasteful number, since it uses less digits than its factorization.

12697380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3105 (or 3100 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 12697380 is about 3563.3383224162. The cubic root of 12697380 is about 233.2946103541.

It can be divided in two parts, 1269 and 7380, that added together give a square (8649 = 932).

The spelling of 12697380 in words is "twelve million, six hundred ninety-seven thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 276 345 414 460 690 828 1035 1380 2070 3067 4140 6134 9201 12268 15335 18402 27603 30670 36804 46005 55206 61340 70541 92010 110412 138015 141082 184020 211623 276030 282164 352705 423246 552060 634869 705410 846492 1058115 1269738 1410820 2116230 2539476 3174345 4232460 6348690 12697380