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1012986 = 23413237
BaseRepresentation
bin11110111010011111010
31220110120000
43313103322
5224403421
633413430
711416212
oct3672372
91813500
101012986
11632087
1240a276
13296100
141c5242
15150226
hexf74fa

1012986 has 60 divisors (see below), whose sum is σ = 2524302. Its totient is φ = 303264.

The previous prime is 1012981. The next prime is 1012993. The reversal of 1012986 is 6892101.

It can be written as a sum of positive squares in 3 ways, for example, as 731025 + 281961 = 855^2 + 531^2 .

It is a super-2 number, since 2×10129862 = 2052281272392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1012981) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 27360 + ... + 27396.

21012986 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1012986, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1262151).

1012986 is an abundant number, since it is smaller than the sum of its proper divisors (1511316).

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

1012986 is a wasteful number, since it uses less digits than its factorization.

1012986 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 1012986 is about 1006.4720562440. The cubic root of 1012986 is about 100.4310063332.

It can be divided in two parts, 10 and 12986, that added together give a square (12996 = 1142).

The spelling of 1012986 in words is "one million, twelve thousand, nine hundred eighty-six".

Divisors: 1 2 3 6 9 13 18 26 27 37 39 54 74 78 81 111 117 162 169 222 234 333 338 351 481 507 666 702 962 999 1014 1053 1443 1521 1998 2106 2886 2997 3042 4329 4563 5994 6253 8658 9126 12506 12987 13689 18759 25974 27378 37518 38961 56277 77922 112554 168831 337662 506493 1012986