Search a number
-
+
1462068 = 2232172389
BaseRepresentation
bin101100100111100110100
32202021120200
411210330310
5333241233
651200500
715266406
oct5447464
92667520
101462068
11909523
125a6130
133c263a
142a0b76
151dd313
hex164f34

1462068 has 36 divisors (see below), whose sum is σ = 3914820. Its totient is φ = 458496.

The previous prime is 1462063. The next prime is 1462099. The reversal of 1462068 is 8602641.

It can be written as a sum of positive squares in 2 ways, for example, as 736164 + 725904 = 858^2 + 852^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1462061) by changing a digit.

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, 583 + ... + 1806.

It is an arithmetic number, because the mean of its divisors is an integer number (108745).

21462068 is an apocalyptic number.

1462068 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1462068 is an abundant number, since it is smaller than the sum of its proper divisors (2452752).

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

1462068 is a wasteful number, since it uses less digits than its factorization.

1462068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2416 (or 2411 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1462068 is about 1209.1600390354. The cubic root of 1462068 is about 113.4982566183.

The spelling of 1462068 in words is "one million, four hundred sixty-two thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 2389 4778 7167 9556 14334 21501 28668 40613 43002 81226 86004 121839 162452 243678 365517 487356 731034 1462068