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1116641424 = 24371547599
BaseRepresentation
bin100001010001110…
…1001100010010000
32212211011021001210
41002203221202100
54241330011144
6302445300120
736446203233
oct10243514220
92784137053
101116641424
11523351258
12271b64640
1314a459492
14a843141a
1568071ab9
hex428e9890

1116641424 has 80 divisors (see below), whose sum is σ = 2935526400. Its totient is φ = 365688960.

The previous prime is 1116641423. The next prime is 1116641429. The reversal of 1116641424 is 4241466111.

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

It is a junction number, because it is equal to n+sod(n) for n = 1116641391 and 1116641400.

It is not an unprimeable number, because it can be changed into a prime (1116641423) 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 15 ways as a sum of consecutive naturals, for example, 1863877 + ... + 1864475.

It is an arithmetic number, because the mean of its divisors is an integer number (36694080).

Almost surely, 21116641424 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 1116641424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1467763200).

1116641424 is an abundant number, since it is smaller than the sum of its proper divisors (1818884976).

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

1116641424 is a wasteful number, since it uses less digits than its factorization.

1116641424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1228 (or 1222 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 1116641424 is about 33416.1850605362. The cubic root of 1116641424 is about 1037.4597223247.

The spelling of 1116641424 in words is "one billion, one hundred sixteen million, six hundred forty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 71 142 213 284 426 547 568 599 852 1094 1136 1198 1641 1704 1797 2188 2396 3282 3408 3594 4376 4792 6564 7188 8752 9584 13128 14376 26256 28752 38837 42529 77674 85058 116511 127587 155348 170116 233022 255174 310696 327653 340232 466044 510348 621392 655306 680464 932088 982959 1020696 1310612 1864176 1965918 2041392 2621224 3931836 5242448 7863672 15727344 23263363 46526726 69790089 93053452 139580178 186106904 279160356 372213808 558320712 1116641424