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1307868240 = 243572233491
BaseRepresentation
bin100110111110100…
…0111110001010000
310101010222120221110
41031331013301100
510134303240430
6333440053320
744260460640
oct11575076120
93333876843
101307868240
11611291848
12306004240
1317ac61443
14c59ac520
1579c467b0
hex4df47c50

1307868240 has 160 divisors (see below), whose sum is σ = 4655702016. Its totient is φ = 297515520.

The previous prime is 1307868239. The next prime is 1307868241. The reversal of 1307868240 is 428687031.

It is an interprime number because it is at equal distance from previous prime (1307868239) and next prime (1307868241).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1307868241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 372895 + ... + 376385.

Almost surely, 21307868240 is an apocalyptic number.

1307868240 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 1307868240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2327851008).

1307868240 is an abundant number, since it is smaller than the sum of its proper divisors (3347833776).

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

1307868240 is a wasteful number, since it uses less digits than its factorization.

1307868240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3737 (or 3731 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 1307868240 is about 36164.4610080117. The cubic root of 1307868240 is about 1093.5903379894.

It can be divided in two parts, 13078 and 68240, that added together give a palindrome (81318).

The spelling of 1307868240 in words is "one billion, three hundred seven million, eight hundred sixty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 223 240 280 336 420 446 560 669 840 892 1115 1338 1561 1680 1784 2230 2676 3122 3345 3491 3568 4460 4683 5352 6244 6690 6982 7805 8920 9366 10473 10704 12488 13380 13964 15610 17455 17840 18732 20946 23415 24437 24976 26760 27928 31220 34910 37464 41892 46830 48874 52365 53520 55856 62440 69820 73311 74928 83784 93660 97748 104730 122185 124880 139640 146622 167568 187320 195496 209460 244370 279280 293244 366555 374640 390992 418920 488740 586488 733110 778493 837840 977480 1172976 1466220 1556986 1954960 2335479 2932440 3113972 3892465 4670958 5449451 5864880 6227944 7784930 9341916 10898902 11677395 12455888 15569860 16348353 18683832 21797804 23354790 27247255 31139720 32696706 37367664 43595608 46709580 54494510 62279440 65393412 81741765 87191216 93419160 108989020 130786824 163483530 186838320 217978040 261573648 326967060 435956080 653934120 1307868240