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1129857024 = 2143127181
BaseRepresentation
bin100001101011000…
…0100000000000000
32220202000200110110
41003112010000000
54303220411044
6304040431320
736666424542
oct10326040000
92822020413
101129857024
1152a85833a
12276478540
1315010586a
14aa0b1692
15692d26b9
hex43584000

1129857024 has 120 divisors (see below), whose sum is σ = 3053360128. Its totient is φ = 371589120.

The previous prime is 1129856999. The next prime is 1129857073. The reversal of 1129857024 is 4207589211.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6242214 + ... + 6242394.

Almost surely, 21129857024 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 1129857024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1526680064).

1129857024 is an abundant number, since it is smaller than the sum of its proper divisors (1923503104).

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

1129857024 is an equidigital number, since it uses as much as digits as its factorization.

1129857024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The square root of 1129857024 is about 33613.3459209285. The cubic root of 1129857024 is about 1041.5365059538.

The spelling of 1129857024 in words is "one billion, one hundred twenty-nine million, eight hundred fifty-seven thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 127 128 181 192 254 256 362 381 384 508 512 543 724 762 768 1016 1024 1086 1448 1524 1536 2032 2048 2172 2896 3048 3072 4064 4096 4344 5792 6096 6144 8128 8192 8688 11584 12192 12288 16256 16384 17376 22987 23168 24384 24576 32512 34752 45974 46336 48768 49152 65024 68961 69504 91948 92672 97536 130048 137922 139008 183896 185344 195072 260096 275844 278016 367792 370688 390144 520192 551688 556032 735584 741376 780288 1040384 1103376 1112064 1471168 1482752 1560576 2080768 2206752 2224128 2942336 2965504 3121152 4413504 4448256 5884672 6242304 8827008 8896512 11769344 17654016 23538688 35308032 47077376 70616064 94154752 141232128 188309504 282464256 376619008 564928512 1129857024