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12668370 = 23511132953
BaseRepresentation
bin110000010100…
…110111010010
3212211121201220
4300110313102
511220341440
61131305510
7212452011
oct60246722
925747656
1012668370
117172a30
1242ab296
1328172a0
14197aa78
1511a38d0
hexc14dd2

12668370 has 64 divisors (see below), whose sum is σ = 35731584. Its totient is φ = 2833920.

The previous prime is 12668353. The next prime is 12668387. The reversal of 12668370 is 7386621.

It is an interprime number because it is at equal distance from previous prime (12668353) and next prime (12668387).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2814 + ... + 5766.

It is an arithmetic number, because the mean of its divisors is an integer number (558306).

Almost surely, 212668370 is an apocalyptic number.

12668370 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 12668370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17865792).

12668370 is an abundant number, since it is smaller than the sum of its proper divisors (23063214).

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

12668370 is a wasteful number, since it uses less digits than its factorization.

12668370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2987.

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

The square root of 12668370 is about 3559.2653736410. The cubic root of 12668370 is about 233.1168036612.

The spelling of 12668370 in words is "twelve million, six hundred sixty-eight thousand, three hundred seventy".

Divisors: 1 2 3 5 6 10 11 13 15 22 26 30 33 39 55 65 66 78 110 130 143 165 195 286 330 390 429 715 858 1430 2145 2953 4290 5906 8859 14765 17718 29530 32483 38389 44295 64966 76778 88590 97449 115167 162415 191945 194898 230334 324830 383890 422279 487245 575835 844558 974490 1151670 1266837 2111395 2533674 4222790 6334185 12668370