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1122661632 = 28310913411
BaseRepresentation
bin100001011101010…
…0111010100000000
32220020111010020110
41002322213110000
54244400133012
6303222311320
736551315661
oct10272472400
92806433213
101122661632
11526793334
12273b88540
1314b786731
14a915b368
156886073c
hex42ea7500

1122661632 has 72 divisors (see below), whose sum is σ = 3015554080. Its totient is φ = 370759680.

The previous prime is 1122661609. The next prime is 1122661649. The reversal of 1122661632 is 2361662211.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1122661632.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77007 + ... + 90417.

Almost surely, 21122661632 is an apocalyptic number.

1122661632 is a gapful number since it is divisible by the number (12) 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 1122661632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1507777040).

1122661632 is an abundant number, since it is smaller than the sum of its proper divisors (1892892448).

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

1122661632 is a wasteful number, since it uses less digits than its factorization.

1122661632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13539 (or 13525 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 1122661632 is about 33506.1431979272. The cubic root of 1122661632 is about 1039.3208188788.

The spelling of 1122661632 in words is "one billion, one hundred twenty-two million, six hundred sixty-one thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 109 128 192 218 256 327 384 436 654 768 872 1308 1744 2616 3488 5232 6976 10464 13411 13952 20928 26822 27904 40233 41856 53644 80466 83712 107288 160932 214576 321864 429152 643728 858304 1287456 1461799 1716608 2574912 2923598 3433216 4385397 5149824 5847196 8770794 10299648 11694392 17541588 23388784 35083176 46777568 70166352 93555136 140332704 187110272 280665408 374220544 561330816 1122661632