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1297039392 = 25341145491
BaseRepresentation
bin100110101001111…
…0100000000100000
310100101121102120000
41031103310000200
510124020230032
6332412020000
744066436645
oct11523640040
93311542500
101297039392
11606165990
12302461600
1317893c53c
14c438ddcc
1578d07e7c
hex4d4f4020

1297039392 has 120 divisors (see below), whose sum is σ = 4161426192. Its totient is φ = 393033600.

The previous prime is 1297039379. The next prime is 1297039409. The reversal of 1297039392 is 2939307921.

It is a happy number.

It is a super-2 number, since 2×12970393922 = 3364622368799459328, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5767 + ... + 51257.

Almost surely, 21297039392 is an apocalyptic number.

1297039392 is a gapful number since it is divisible by the number (12) 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 1297039392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2080713096).

1297039392 is an abundant number, since it is smaller than the sum of its proper divisors (2864386800).

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

1297039392 is a wasteful number, since it uses less digits than its factorization.

1297039392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45524 (or 45507 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 45.

The square root of 1297039392 is about 36014.4331067421. The cubic root of 1297039392 is about 1090.5637439585.

The spelling of 1297039392 in words is "one billion, two hundred ninety-seven million, thirty-nine thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 81 88 96 99 108 132 144 162 176 198 216 264 288 297 324 352 396 432 528 594 648 792 864 891 1056 1188 1296 1584 1782 2376 2592 3168 3564 4752 7128 9504 14256 28512 45491 90982 136473 181964 272946 363928 409419 500401 545892 727856 818838 1000802 1091784 1228257 1455712 1501203 1637676 2001604 2183568 2456514 3002406 3275352 3684771 4003208 4367136 4503609 4913028 6004812 6550704 7369542 8006416 9007218 9826056 12009624 13101408 13510827 14739084 16012832 18014436 19652112 24019248 27021654 29478168 36028872 39304224 40532481 48038496 54043308 58956336 72057744 81064962 108086616 117912672 144115488 162129924 216173232 324259848 432346464 648519696 1297039392