Search a number
-
+
1123156460 = 225374137019
BaseRepresentation
bin100001011110010…
…0000000111101100
32220021102021000102
41002330200013230
54300012001320
6303241050232
736555446426
oct10274400754
92807367012
101123156460
11526aa1088
12274186978
1314b8caa2a
14a9249816
156890c175
hex42f201ec

1123156460 has 48 divisors (see below), whose sum is σ = 2481524640. Its totient is φ = 426447360.

The previous prime is 1123156451. The next prime is 1123156471. The reversal of 1123156460 is 646513211.

It is a happy number.

It is a super-2 number, since 2×11231564602 = 2522960867279463200, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 11831 + ... + 48849.

It is an arithmetic number, because the mean of its divisors is an integer number (51698430).

Almost surely, 21123156460 is an apocalyptic number.

1123156460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1123156460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1240762320).

1123156460 is an abundant number, since it is smaller than the sum of its proper divisors (1358368180).

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

1123156460 is a wasteful number, since it uses less digits than its factorization.

1123156460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37106 (or 37104 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 1123156460 is about 33513.5265228833. The cubic root of 1123156460 is about 1039.4734945936.

Adding to 1123156460 its reverse (646513211), we get a palindrome (1769669671).

The spelling of 1123156460 in words is "one billion, one hundred twenty-three million, one hundred fifty-six thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 37 41 74 82 148 164 185 205 370 410 740 820 1517 3034 6068 7585 15170 30340 37019 74038 148076 185095 370190 740380 1369703 1517779 2739406 3035558 5478812 6071116 6848515 7588895 13697030 15177790 27394060 30355580 56157823 112315646 224631292 280789115 561578230 1123156460