Search a number
-
+
12386820 = 2235206447
BaseRepresentation
bin101111010000…
…001000000100
3212022022112010
4233100020010
511132334240
61121254220
7210200115
oct57201004
925268463
1012386820
116aa0446
124194370
1327490a4
14190620c
15114a280
hexbd0204

12386820 has 24 divisors (see below), whose sum is σ = 34683264. Its totient is φ = 3303136.

The previous prime is 12386813. The next prime is 12386827. The reversal of 12386820 is 2868321.

It is an interprime number because it is at equal distance from previous prime (12386813) and next prime (12386827).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (12386827) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 103164 + ... + 103283.

It is an arithmetic number, because the mean of its divisors is an integer number (1445136).

Almost surely, 212386820 is an apocalyptic number.

12386820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12386820 is an abundant number, since it is smaller than the sum of its proper divisors (22296444).

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

12386820 is a wasteful number, since it uses less digits than its factorization.

12386820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206459 (or 206457 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 12386820 is about 3519.4914405351. The cubic root of 12386820 is about 231.3768702415.

The spelling of 12386820 in words is "twelve million, three hundred eighty-six thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 206447 412894 619341 825788 1032235 1238682 2064470 2477364 3096705 4128940 6193410 12386820