Search a number
-
+
1121013440 = 26543257317
BaseRepresentation
bin100001011010001…
…0100111011000000
32220010101101100022
41002310110323000
54243434412230
6303123113012
736531312521
oct10264247300
92803341308
101121013440
11525867a98
12273512768
1314b32a481
14a8c4c848
15686371e5
hex42d14ec0

1121013440 has 112 divisors (see below), whose sum is σ = 2750771232. Its totient is φ = 434896896.

The previous prime is 1121013437. The next prime is 1121013461. The reversal of 1121013440 is 443101211.

It is a happy number.

It is a super-2 number, since 2×11210134402 = 2513342265321267200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3536162 + ... + 3536478.

Almost surely, 21121013440 is an apocalyptic number.

1121013440 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 1121013440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1375385616).

1121013440 is an abundant number, since it is smaller than the sum of its proper divisors (1629757792).

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

1121013440 is a wasteful number, since it uses less digits than its factorization.

1121013440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 1121013440 is about 33481.5387937890. The cubic root of 1121013440 is about 1038.8119569664.

Adding to 1121013440 its reverse (443101211), we get a palindrome (1564114651).

The spelling of 1121013440 in words is "one billion, one hundred twenty-one million, thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 64 80 86 160 172 215 257 317 320 344 430 514 634 688 860 1028 1268 1285 1376 1585 1720 2056 2536 2570 2752 3170 3440 4112 5072 5140 6340 6880 8224 10144 10280 11051 12680 13631 13760 16448 20288 20560 22102 25360 27262 41120 44204 50720 54524 55255 68155 81469 82240 88408 101440 109048 110510 136310 162938 176816 218096 221020 272620 325876 353632 407345 436192 442040 545240 651752 707264 814690 872384 884080 1090480 1303504 1629380 1768160 2180960 2607008 3258760 3503167 3536320 4361920 5214016 6517520 7006334 13035040 14012668 17515835 26070080 28025336 35031670 56050672 70063340 112101344 140126680 224202688 280253360 560506720 1121013440