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1042712 = 231117241
BaseRepresentation
bin11111110100100011000
31221222022222
43332210120
5231331322
634203212
711601656
oct3764430
91858288
101042712
11652450
12423508
132a67b8
141d1dd6
15158e42
hexfe918

1042712 has 48 divisors (see below), whose sum is σ = 2320920. Its totient is φ = 435200.

The previous prime is 1042709. The next prime is 1042733. The reversal of 1042712 is 2172401.

It is a hoax number, since the sum of its digits (17) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 25412 + ... + 25452.

21042712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1042712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1160460).

1042712 is an abundant number, since it is smaller than the sum of its proper divisors (1278208).

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

1042712 is a wasteful number, since it uses less digits than its factorization.

1042712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 17.

The square root of 1042712 is about 1021.1327044023. The cubic root of 1042712 is about 101.4039308750.

The spelling of 1042712 in words is "one million, forty-two thousand, seven hundred twelve".

Divisors: 1 2 4 8 11 17 22 34 41 44 68 82 88 136 164 187 289 328 374 451 578 697 748 902 1156 1394 1496 1804 2312 2788 3179 3608 5576 6358 7667 11849 12716 15334 23698 25432 30668 47396 61336 94792 130339 260678 521356 1042712