Search a number
-
+
1913112 = 233317521
BaseRepresentation
bin111010011000100011000
310121012022000
413103010120
5442204422
6105001000
722155405
oct7230430
93535260
101913112
111097393
12783160
1351ca26
1437b2ac
1527bcac
hex1d3118

1913112 has 64 divisors (see below), whose sum is σ = 5637600. Its totient is φ = 599040.

The previous prime is 1913099. The next prime is 1913123. The reversal of 1913112 is 2113191.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3412 + ... + 3932.

21913112 is an apocalyptic number.

1913112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1913112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2818800).

1913112 is an abundant number, since it is smaller than the sum of its proper divisors (3724488).

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

1913112 is a wasteful number, since it uses less digits than its factorization.

1913112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 543 counting only the distinct ones).

The product of its digits is 54, while the sum is 18.

The square root of 1913112 is about 1383.1529199622. The cubic root of 1913112 is about 124.1404928590.

It can be divided in two parts, 1913 and 112, that added together give a square (2025 = 452).

The spelling of 1913112 in words is "one million, nine hundred thirteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 108 136 153 204 216 306 408 459 521 612 918 1042 1224 1563 1836 2084 3126 3672 4168 4689 6252 8857 9378 12504 14067 17714 18756 26571 28134 35428 37512 53142 56268 70856 79713 106284 112536 159426 212568 239139 318852 478278 637704 956556 1913112