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1042314 = 237132383
BaseRepresentation
bin11111110011110001010
31221221210020
43332132022
5231323224
634201310
711600550
oct3763612
91857706
101042314
11652119
12423236
132a6570
141d1bd0
15158c79
hexfe78a

1042314 has 64 divisors (see below), whose sum is σ = 2709504. Its totient is φ = 259776.

The previous prime is 1042309. The next prime is 1042331. The reversal of 1042314 is 4132401.

It is a junction number, because it is equal to n+sod(n) for n = 1042293 and 1042302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12517 + ... + 12599.

It is an arithmetic number, because the mean of its divisors is an integer number (42336).

21042314 is an apocalyptic number.

1042314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1042314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1354752).

1042314 is an abundant number, since it is smaller than the sum of its proper divisors (1667190).

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

1042314 is a wasteful number, since it uses less digits than its factorization.

1042314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131.

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 1042314 is about 1020.9378041781. The cubic root of 1042314 is about 101.3910273758.

Adding to 1042314 its reverse (4132401), we get a palindrome (5174715).

It can be divided in two parts, 10 and 42314, that added together give a palindrome (42324).

The spelling of 1042314 in words is "one million, forty-two thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 13 14 21 23 26 39 42 46 69 78 83 91 138 161 166 182 249 273 299 322 483 498 546 581 598 897 966 1079 1162 1743 1794 1909 2093 2158 3237 3486 3818 4186 5727 6279 6474 7553 11454 12558 13363 15106 22659 24817 26726 40089 45318 49634 74451 80178 148902 173719 347438 521157 1042314