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1121738256 = 24327789849
BaseRepresentation
bin100001011011100…
…0101111000010000
32220011202012121100
41002313011320100
54244131111011
6303150424400
736540421632
oct10267057020
92804665540
101121738256
11526212611
12273802100
1314b522362
14a8d9aa52
156872bd56
hex42dc5e10

1121738256 has 30 divisors (see below), whose sum is σ = 3139309550. Its totient is φ = 373912704.

The previous prime is 1121738239. The next prime is 1121738257. The reversal of 1121738256 is 6528371211.

1121738256 is a `hidden beast` number, since 11 + 217 + 382 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1049760000 + 71978256 = 32400^2 + 8484^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 1121738256.

It is not an unprimeable number, because it can be changed into a prime (1121738257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3894781 + ... + 3895068.

Almost surely, 21121738256 is an apocalyptic number.

1121738256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1121738256 is an abundant number, since it is smaller than the sum of its proper divisors (2017571294).

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

1121738256 is a wasteful number, since it uses less digits than its factorization.

1121738256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7789863 (or 7789854 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 1121738256 is about 33492.3611589270. The cubic root of 1121738256 is about 1039.0357976688.

The spelling of 1121738256 in words is "one billion, one hundred twenty-one million, seven hundred thirty-eight thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 7789849 15579698 23369547 31159396 46739094 62318792 70108641 93478188 124637584 140217282 186956376 280434564 373912752 560869128 1121738256