Search a number
-
+
1291968 = 26322243
BaseRepresentation
bin100111011011011000000
32102122020200
410323123000
5312320333
643405200
713660446
oct4733300
92378220
101291968
11802747
12523800
133630a2
14258b96
151a7c13
hex13b6c0

1291968 has 42 divisors (see below), whose sum is σ = 3704844. Its totient is φ = 430464.

The previous prime is 1291967. The next prime is 1291991. The reversal of 1291968 is 8691921.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1291963) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 546 + ... + 1697.

21291968 is an apocalyptic number.

1291968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1291968 is an abundant number, since it is smaller than the sum of its proper divisors (2412876).

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

1291968 is a wasteful number, since it uses less digits than its factorization.

1291968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2261 (or 2248 counting only the distinct ones).

The product of its digits is 7776, while the sum is 36.

The square root of 1291968 is about 1136.6477026766. The cubic root of 1291968 is about 108.9140528326.

The spelling of 1291968 in words is "one million, two hundred ninety-one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 2243 4486 6729 8972 13458 17944 20187 26916 35888 40374 53832 71776 80748 107664 143552 161496 215328 322992 430656 645984 1291968