Search a number
-
+
1121985792 = 28322811733
BaseRepresentation
bin100001011100000…
…0010010100000000
32220012012210011100
41002320002110000
54244212021132
6303200014400
736542502414
oct10270022400
92805183140
101121985792
11526371594
12273901400
1314b5aac25
14a9022d44
156877a37c
hex42e02500

1121985792 has 108 divisors (see below), whose sum is σ = 3248347284. Its totient is φ = 372449280.

The previous prime is 1121985751. The next prime is 1121985803. The reversal of 1121985792 is 2975891211.

It can be written as a sum of positive squares in 2 ways, for example, as 630210816 + 491774976 = 25104^2 + 22176^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 646558 + ... + 648290.

Almost surely, 21121985792 is an apocalyptic number.

1121985792 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 1121985792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1624173642).

1121985792 is an abundant number, since it is smaller than the sum of its proper divisors (2126361492).

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

1121985792 is a wasteful number, since it uses less digits than its factorization.

1121985792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2036 (or 2019 counting only the distinct ones).

The product of its digits is 90720, while the sum is 45.

The square root of 1121985792 is about 33496.0563648917. The cubic root of 1121985792 is about 1039.1122206808.

The spelling of 1121985792 in words is "one billion, one hundred twenty-one million, nine hundred eighty-five thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 281 288 384 562 576 768 843 1124 1152 1686 1733 2248 2304 2529 3372 3466 4496 5058 5199 6744 6932 8992 10116 10398 13488 13864 15597 17984 20232 20796 26976 27728 31194 35968 40464 41592 53952 55456 62388 71936 80928 83184 107904 110912 124776 161856 166368 215808 221824 249552 323712 332736 443648 486973 499104 647424 665472 973946 998208 1330944 1460919 1947892 1996416 2921838 3895784 3992832 4382757 5843676 7791568 8765514 11687352 15583136 17531028 23374704 31166272 35062056 46749408 62332544 70124112 93498816 124665088 140248224 186997632 280496448 373995264 560992896 1121985792