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1297340928 = 2933137219
BaseRepresentation
bin100110101010011…
…1101101000000000
310100102011202012000
41031110331220000
510124104402203
6332422304000
744102134032
oct11524755000
93312152160
101297340928
11606351494
12302588000
13178a16870
14c442bc52
1578d674a3
hex4d53da00

1297340928 has 160 divisors (see below), whose sum is σ = 4136193600. Its totient is φ = 399126528.

The previous prime is 1297340903. The next prime is 1297340959. The reversal of 1297340928 is 8290437921.

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 15 ways as a sum of consecutive naturals, for example, 176103 + ... + 183321.

It is an arithmetic number, because the mean of its divisors is an integer number (25851210).

Almost surely, 21297340928 is an apocalyptic number.

1297340928 is a gapful number since it is divisible by the number (18) 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 1297340928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2068096800).

1297340928 is an abundant number, since it is smaller than the sum of its proper divisors (2838852672).

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

1297340928 is an equidigital number, since it uses as much as digits as its factorization.

1297340928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7259 (or 7237 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 1297340928 is about 36018.6191850826. The cubic root of 1297340928 is about 1090.6482489090.

It can be divided in two parts, 1297 and 340928, that added together give a square (342225 = 5852).

The spelling of 1297340928 in words is "one billion, two hundred ninety-seven million, three hundred forty thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 128 144 156 192 208 216 234 256 288 312 351 384 416 432 468 512 576 624 702 768 832 864 936 1152 1248 1404 1536 1664 1728 1872 2304 2496 2808 3328 3456 3744 4608 4992 5616 6656 6912 7219 7488 9984 11232 13824 14438 14976 19968 21657 22464 28876 29952 43314 44928 57752 59904 64971 86628 89856 93847 115504 129942 173256 179712 187694 194913 231008 259884 281541 346512 375388 389826 462016 519768 563082 693024 750776 779652 844623 924032 1039536 1126164 1386048 1501552 1559304 1689246 1848064 2079072 2252328 2533869 2772096 3003104 3118608 3378492 3696128 4158144 4504656 5067738 5544192 6006208 6237216 6756984 8316288 9009312 10135476 11088384 12012416 12474432 13513968 16632576 18018624 20270952 24024832 24948864 27027936 33265152 36037248 40541904 48049664 49897728 54055872 72074496 81083808 99795456 108111744 144148992 162167616 216223488 324335232 432446976 648670464 1297340928