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1121426688 = 2835924749
BaseRepresentation
bin100001011010111…
…1001110100000000
32220011011101012210
41002311321310000
54244041123223
6303140022120
736534653364
oct10265716400
92804141183
101121426688
1152601a518
12273691940
1314b4435b5
14a8d192a4
15686b9893
hex42d79d00

1121426688 has 72 divisors (see below), whose sum is σ = 3035340000. Its totient is φ = 367458304.

The previous prime is 1121426653. The next prime is 1121426699. The reversal of 1121426688 is 8866241211.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32938 + ... + 57686.

It is an arithmetic number, because the mean of its divisors is an integer number (42157500).

Almost surely, 21121426688 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 1121426688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1517670000).

1121426688 is an abundant number, since it is smaller than the sum of its proper divisors (1913913312).

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

1121426688 is an equidigital number, since it uses as much as digits as its factorization.

1121426688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24827 (or 24813 counting only the distinct ones).

The product of its digits is 36864, while the sum is 39.

The square root of 1121426688 is about 33487.7095066235. The cubic root of 1121426688 is about 1038.9395897579.

Adding to 1121426688 its reverse (8866241211), we get a palindrome (9987667899).

The spelling of 1121426688 in words is "one billion, one hundred twenty-one million, four hundred twenty-six thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 64 96 118 128 177 192 236 256 354 384 472 708 768 944 1416 1888 2832 3776 5664 7552 11328 15104 22656 24749 45312 49498 74247 98996 148494 197992 296988 395984 593976 791968 1187952 1460191 1583936 2375904 2920382 3167872 4380573 4751808 5840764 6335744 8761146 9503616 11681528 17522292 19007232 23363056 35044584 46726112 70089168 93452224 140178336 186904448 280356672 373808896 560713344 1121426688