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1121089424 = 247213293793
BaseRepresentation
bin100001011010010…
…0111011110010000
32220010112020120112
41002310213132100
54243444330144
6303124500452
736532050200
oct10264473620
92803466515
101121089424
1152590a094
1227354a728
1314b355c30
14a8c6c400
156864e99e
hex42d27790

1121089424 has 120 divisors (see below), whose sum is σ = 2815679160. Its totient is φ = 428101632.

The previous prime is 1121089369. The next prime is 1121089427. The reversal of 1121089424 is 4249801211.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1517824 + 1119571600 = 1232^2 + 33460^2 .

It is not an unprimeable number, because it can be changed into a prime (1121089427) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 293672 + ... + 297464.

It is an arithmetic number, because the mean of its divisors is an integer number (23463993).

Almost surely, 21121089424 is an apocalyptic number.

1121089424 is a gapful number since it is divisible by the number (14) 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 1121089424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1407839580).

1121089424 is an abundant number, since it is smaller than the sum of its proper divisors (1694589736).

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

1121089424 is a wasteful number, since it uses less digits than its factorization.

1121089424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3857 (or 3844 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 32.

The square root of 1121089424 is about 33482.6734894333. The cubic root of 1121089424 is about 1038.8354271888.

The spelling of 1121089424 in words is "one billion, one hundred twenty-one million, eighty-nine thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 29 49 52 56 58 91 98 104 112 116 182 196 203 208 232 364 377 392 406 464 637 728 754 784 812 1274 1421 1456 1508 1624 2548 2639 2842 3016 3248 3793 5096 5278 5684 6032 7586 10192 10556 11368 15172 18473 21112 22736 26551 30344 36946 42224 49309 53102 60688 73892 98618 106204 109997 147784 185857 197236 212408 219994 295568 345163 371714 394472 424816 439988 690326 743428 769979 788944 879976 1380652 1429961 1486856 1539958 1759952 2416141 2761304 2859922 2973712 3079916 4832282 5389853 5522608 5719844 6159832 9664564 10009727 10779706 11439688 12319664 19329128 20019454 21559412 22879376 38658256 40038908 43118824 70068089 80077816 86237648 140136178 160155632 280272356 560544712 1121089424