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1121530956 = 2237136715329
BaseRepresentation
bin100001011011001…
…0011010001001100
32220011100200020120
41002312103101030
54244102442311
6303142144540
736535566360
oct10266232114
92804320216
101121530956
11526090897
12273722150
1314b47bbb0
14a8d452a0
15686da706
hex42d9344c

1121530956 has 96 divisors (see below), whose sum is σ = 3269091840. Its totient is φ = 291354624.

The previous prime is 1121530937. The next prime is 1121530961. The reversal of 1121530956 is 6590351211.

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 31 ways as a sum of consecutive naturals, for example, 65500 + ... + 80828.

It is an arithmetic number, because the mean of its divisors is an integer number (34053040).

Almost surely, 21121530956 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 1121530956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1634545920).

1121530956 is an abundant number, since it is smaller than the sum of its proper divisors (2147560884).

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

1121530956 is a wasteful number, since it uses less digits than its factorization.

1121530956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15423 (or 15421 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 33.

The square root of 1121530956 is about 33489.2662804069. The cubic root of 1121530956 is about 1038.9717882651.

The spelling of 1121530956 in words is "one billion, one hundred twenty-one million, five hundred thirty thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 67 78 84 91 134 156 182 201 268 273 364 402 469 546 804 871 938 1092 1407 1742 1876 2613 2814 3484 5226 5628 6097 10452 12194 15329 18291 24388 30658 36582 45987 61316 73164 91974 107303 183948 199277 214606 321909 398554 429212 597831 643818 797108 1027043 1195662 1287636 1394939 2054086 2391324 2789878 3081129 4108172 4184817 5579756 6162258 7189301 8369634 12324516 13351559 14378602 16739268 21567903 26703118 28757204 40054677 43135806 53406236 80109354 86271612 93460913 160218708 186921826 280382739 373843652 560765478 1121530956