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1917968 = 24139221
BaseRepresentation
bin111010100010000010000
310121102221212
413110100100
5442333333
6105035252
722205513
oct7242020
93542855
101917968
11109aaa8
12785b28
13521cc0
1437cd7a
1527d448
hex1d4410

1917968 has 20 divisors (see below), whose sum is σ = 4002348. Its totient is φ = 885120.

The previous prime is 1917967. The next prime is 1917977. The reversal of 1917968 is 8697191.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1056784 + 861184 = 1028^2 + 928^2 .

It is not an unprimeable number, because it can be changed into a prime (1917961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4403 + ... + 4818.

21917968 is an apocalyptic number.

It is an amenable number.

1917968 is an abundant number, since it is smaller than the sum of its proper divisors (2084380).

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

1917968 is a wasteful number, since it uses less digits than its factorization.

1917968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9242 (or 9236 counting only the distinct ones).

The product of its digits is 27216, while the sum is 41.

The square root of 1917968 is about 1384.9072171088. The cubic root of 1917968 is about 124.2454382578.

The spelling of 1917968 in words is "one million, nine hundred seventeen thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 52 104 208 9221 18442 36884 73768 119873 147536 239746 479492 958984 1917968