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1297050440 = 235779191307
BaseRepresentation
bin100110101001111…
…0110101101001000
310100101121222201012
41031103312231020
510124021103230
6332412143052
744066514110
oct11523665510
93311558635
101297050440
11606173214
12302467a88
1317894458a
14c4394040
1578d0b395
hex4d4f6b48

1297050440 has 128 divisors (see below), whose sum is σ = 3406233600. Its totient is φ = 435352320.

The previous prime is 1297050437. The next prime is 1297050463. The reversal of 1297050440 is 440507921.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1297050397 and 1297050406.

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, 4224767 + ... + 4225073.

It is an arithmetic number, because the mean of its divisors is an integer number (26611200).

Almost surely, 21297050440 is an apocalyptic number.

1297050440 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 1297050440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1703116800).

1297050440 is an abundant number, since it is smaller than the sum of its proper divisors (2109183160).

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

1297050440 is a wasteful number, since it uses less digits than its factorization.

1297050440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 1297050440 is about 36014.5864893657. The cubic root of 1297050440 is about 1090.5668403728.

The spelling of 1297050440 in words is "one billion, two hundred ninety-seven million, fifty thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 79 140 158 191 280 307 316 382 395 553 614 632 764 790 955 1106 1228 1337 1528 1535 1580 1910 2149 2212 2456 2674 2765 3070 3160 3820 4298 4424 5348 5530 6140 6685 7640 8596 10696 10745 11060 12280 13370 15089 17192 21490 22120 24253 26740 30178 42980 48506 53480 58637 60356 75445 85960 97012 105623 117274 120712 121265 150890 169771 194024 211246 234548 242530 293185 301780 339542 410459 422492 469096 485060 528115 586370 603560 679084 820918 844984 848855 970120 1056230 1172740 1358168 1641836 1697710 2052295 2112460 2345480 3283672 3395420 4104590 4224920 4632323 6790840 8209180 9264646 16418360 18529292 23161615 32426261 37058584 46323230 64852522 92646460 129705044 162131305 185292920 259410088 324262610 648525220 1297050440