Search a number
-
+
1131559956 = 22341091792
BaseRepresentation
bin100001101110010…
…0011110000010100
32220212020012110000
41003130203300110
54304134404311
6304141131300
740020046422
oct10334436024
92825205400
101131559956
1153081081a
12276b59b30
13150580a07
14aa3d6112
156951c056
hex43723c14

1131559956 has 90 divisors (see below), whose sum is σ = 3002030570. Its totient is φ = 371638368.

The previous prime is 1131559939. The next prime is 1131559963. The reversal of 1131559956 is 6599551311.

1131559956 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 5 + 599 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1038128400 + 93431556 = 32220^2 + 9666^2 .

It is a congruent number.

It is an unprimeable number.

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 29 ways as a sum of consecutive naturals, for example, 6321475 + ... + 6321653.

Almost surely, 21131559956 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1131559956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1501015285).

1131559956 is an abundant number, since it is smaller than the sum of its proper divisors (1870470614).

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

1131559956 is a wasteful number, since it uses less digits than its factorization.

1131559956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 293 counting only the distinct ones).

The product of its digits is 182250, while the sum is 45.

The square root of 1131559956 is about 33638.6675717098. The cubic root of 1131559956 is about 1042.0595147526.

The spelling of 1131559956 in words is "one billion, one hundred thirty-one million, five hundred fifty-nine thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 109 162 179 218 324 327 358 436 537 654 716 981 1074 1308 1611 1962 2148 2943 3222 3924 4833 5886 6444 8829 9666 11772 14499 17658 19332 19511 28998 32041 35316 39022 57996 58533 64082 78044 96123 117066 128164 175599 192246 234132 288369 351198 384492 526797 576738 702396 865107 1053594 1153476 1580391 1730214 2107188 2595321 3160782 3460428 3492469 5190642 6321564 6984938 10381284 10477407 13969876 20954814 31432221 41909628 62864442 94296663 125728884 188593326 282889989 377186652 565779978 1131559956