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12742842 = 237289487
BaseRepresentation
bin110000100111…
…000010111010
3212222101220010
4300213002322
511230232332
61133042350
7213212100
oct60470272
925871803
1012742842
117213982
1243263b6
132842158
141999c70
1511ba9cc
hexc270ba

12742842 has 48 divisors (see below), whose sum is σ = 30041280. Its totient is φ = 3592512.

The previous prime is 12742823. The next prime is 12742871. The reversal of 12742842 is 24824721.

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 23 ways as a sum of consecutive naturals, for example, 25923 + ... + 26409.

It is an arithmetic number, because the mean of its divisors is an integer number (625860).

Almost surely, 212742842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12742842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15020640).

12742842 is an abundant number, since it is smaller than the sum of its proper divisors (17298438).

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

12742842 is a wasteful number, since it uses less digits than its factorization.

12742842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 588 counting only the distinct ones).

The product of its digits is 7168, while the sum is 30.

The square root of 12742842 is about 3569.7117530691. The cubic root of 12742842 is about 233.5727098953.

The spelling of 12742842 in words is "twelve million, seven hundred forty-two thousand, eight hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 49 89 98 147 178 267 294 487 534 623 974 1246 1461 1869 2922 3409 3738 4361 6818 8722 10227 13083 20454 23863 26166 43343 47726 71589 86686 130029 143178 260058 303401 606802 910203 1820406 2123807 4247614 6371421 12742842