Search a number
-
+
1159369920 = 26325402559
BaseRepresentation
bin100010100011010…
…1001010011000000
32222210120002112200
41011012221103000
54333244314140
6311013153200
740505324142
oct10506512300
92883502480
101159369920
11545485865
1228432b800
13156269c07
14add94c92
156bbb2030
hex451a94c0

1159369920 has 84 divisors (see below), whose sum is σ = 3987759360. Its totient is φ = 309164544.

The previous prime is 1159369907. The next prime is 1159369921. The reversal of 1159369920 is 299639511.

It is a happy number.

It is a super-2 number, since 2×11593699202 = 2688277222801612800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1159369921) 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 11 ways as a sum of consecutive naturals, for example, 198400 + ... + 204159.

Almost surely, 21159369920 is an apocalyptic number.

1159369920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1159369920 is an abundant number, since it is smaller than the sum of its proper divisors (2828389440).

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

1159369920 is a wasteful number, since it uses less digits than its factorization.

1159369920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402582 (or 402569 counting only the distinct ones).

The product of its (nonzero) digits is 131220, while the sum is 45.

The square root of 1159369920 is about 34049.5215825421. The cubic root of 1159369920 is about 1050.5272997767.

The spelling of 1159369920 in words is "one billion, one hundred fifty-nine million, three hundred sixty-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 402559 805118 1207677 1610236 2012795 2415354 3220472 3623031 4025590 4830708 6038385 6440944 7246062 8051180 9661416 12076770 12881888 14492124 16102360 18115155 19322832 24153540 25763776 28984248 32204720 36230310 38645664 48307080 57968496 64409440 72460620 77291328 96614160 115936992 128818880 144921240 193228320 231873984 289842480 386456640 579684960 1159369920