Search a number
-
+
1415988 = 223371873
BaseRepresentation
bin101011001101100110100
32122221101000
411121230310
5330302423
650203300
715015150
oct5315464
92587330
101415988
11887942
12583530
133a7682
1428c060
151ce843
hex159b34

1415988 has 48 divisors (see below), whose sum is σ = 4197760. Its totient is φ = 404352.

The previous prime is 1415977. The next prime is 1415989. The reversal of 1415988 is 8895141.

It is a super-2 number, since 2×14159882 = 4010044032288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1415989) 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 15 ways as a sum of consecutive naturals, for example, 181 + ... + 1692.

21415988 is an apocalyptic number.

1415988 is a gapful number since it is divisible by the number (18) 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 1415988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2098880).

1415988 is an abundant number, since it is smaller than the sum of its proper divisors (2781772).

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

1415988 is a wasteful number, since it uses less digits than its factorization.

1415988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1893 (or 1885 counting only the distinct ones).

The product of its digits is 11520, while the sum is 36.

The square root of 1415988 is about 1189.9529402460. The cubic root of 1415988 is about 112.2931309460.

The spelling of 1415988 in words is "one million, four hundred fifteen thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 1873 3746 5619 7492 11238 13111 16857 22476 26222 33714 39333 50571 52444 67428 78666 101142 117999 157332 202284 235998 353997 471996 707994 1415988