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1126534640 = 245711434253
BaseRepresentation
bin100001100100101…
…1000110111110000
32220111202220000012
41003021120313300
54301343102030
6303441314052
736626246360
oct10311306760
92814686005
101126534640
11528999170
12275335928
1314c51155a
14a98889a0
1568d78095
hex43258df0

1126534640 has 160 divisors (see below), whose sum is σ = 3342214656. Its totient is φ = 342881280.

The previous prime is 1126534639. The next prime is 1126534679. The reversal of 1126534640 is 464356211.

It is a junction number, because it is equal to n+sod(n) for n = 1126534597 and 1126534606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 262754 + ... + 267006.

Almost surely, 21126534640 is an apocalyptic number.

1126534640 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 1126534640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1671107328).

1126534640 is an abundant number, since it is smaller than the sum of its proper divisors (2215680016).

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

1126534640 is a wasteful number, since it uses less digits than its factorization.

1126534640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4327 (or 4321 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 1126534640 is about 33563.8889284302. Note that the first 3 decimals coincide. The cubic root of 1126534640 is about 1040.5146121818.

The spelling of 1126534640 in words is "one billion, one hundred twenty-six million, five hundred thirty-four thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 43 44 55 56 70 77 80 86 88 110 112 140 154 172 176 215 220 280 301 308 344 385 430 440 473 560 602 616 688 770 860 880 946 1204 1232 1505 1540 1720 1892 2365 2408 3010 3080 3311 3440 3784 4253 4730 4816 6020 6160 6622 7568 8506 9460 12040 13244 16555 17012 18920 21265 24080 26488 29771 33110 34024 37840 42530 46783 52976 59542 66220 68048 85060 93566 119084 132440 148855 170120 182879 187132 233915 238168 264880 297710 327481 340240 365758 374264 467830 476336 595420 654962 731516 748528 914395 935660 1190840 1280153 1309924 1463032 1637405 1828790 1871320 2011669 2381680 2560306 2619848 2926064 3274810 3657580 3742640 4023338 5120612 5239696 6400765 6549620 7315160 8046676 10058345 10241224 12801530 13099240 14081683 14630320 16093352 20116690 20482448 25603060 26198480 28163366 32186704 40233380 51206120 56326732 70408415 80466760 102412240 112653464 140816830 160933520 225306928 281633660 563267320 1126534640