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1307797650 = 23452973329
BaseRepresentation
bin100110111110011…
…0110100010010010
310101010212000010000
41031330312202102
510134244011100
6333434350430
744260045065
oct11574664222
93333760100
101307797650
11611243805
12305b8b416
1317ac38283
14c59908dc
1579c30900
hex4df36892

1307797650 has 120 divisors (see below), whose sum is σ = 3672304020. Its totient is φ = 345047040.

The previous prime is 1307797643. The next prime is 1307797669. The reversal of 1307797650 is 567977031.

1307797650 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 371988369 + 935809281 = 19287^2 + 30591^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 1307797596 and 1307797605.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 391186 + ... + 394514.

Almost surely, 21307797650 is an apocalyptic number.

1307797650 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1307797650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1836152010).

1307797650 is an abundant number, since it is smaller than the sum of its proper divisors (2364506370).

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

1307797650 is a wasteful number, since it uses less digits than its factorization.

1307797650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3450 (or 3436 counting only the distinct ones).

The product of its (nonzero) digits is 277830, while the sum is 45.

The square root of 1307797650 is about 36163.4850367052. The cubic root of 1307797650 is about 1093.5706627325.

The spelling of 1307797650 in words is "one billion, three hundred seven million, seven hundred ninety-seven thousand, six hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 81 90 97 135 150 162 194 225 270 291 405 450 485 582 675 810 873 970 1350 1455 1746 2025 2425 2619 2910 3329 4050 4365 4850 5238 6658 7275 7857 8730 9987 13095 14550 15714 16645 19974 21825 26190 29961 33290 39285 43650 49935 59922 65475 78570 83225 89883 99870 130950 149805 166450 179766 196425 249675 269649 299610 322913 392850 449415 499350 539298 645826 749025 898830 968739 1348245 1498050 1614565 1937478 2247075 2696490 2906217 3229130 4494150 4843695 5812434 6741225 8072825 8718651 9687390 13482450 14531085 16145650 17437302 24218475 26155953 29062170 43593255 48436950 52311906 72655425 87186510 130779765 145310850 217966275 261559530 435932550 653898825 1307797650