Search a number
-
+
1307937620 = 2251147126493
BaseRepresentation
bin100110111110101…
…1000101101010100
310101011010010010002
41031331120231110
510134313000440
6333441350432
744261200133
oct11575305524
93334103102
101307937620
11611329990
12306038418
1317ac86bb2
14c59c991a
1579c5c115
hex4df58b54

1307937620 has 48 divisors (see below), whose sum is σ = 3060142848. Its totient is φ = 465490560.

The previous prime is 1307937611. The next prime is 1307937623. The reversal of 1307937620 is 267397031.

It is a super-2 number, since 2×13079376202 = 3421401635622528800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1307937623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52907 + ... + 73586.

It is an arithmetic number, because the mean of its divisors is an integer number (63752976).

Almost surely, 21307937620 is an apocalyptic number.

1307937620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1307937620 is an abundant number, since it is smaller than the sum of its proper divisors (1752205228).

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

1307937620 is a wasteful number, since it uses less digits than its factorization.

1307937620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126560 (or 126558 counting only the distinct ones).

The product of its (nonzero) digits is 47628, while the sum is 38.

The square root of 1307937620 is about 36165.4202242971. The cubic root of 1307937620 is about 1093.6096752982.

The spelling of 1307937620 in words is "one billion, three hundred seven million, nine hundred thirty-seven thousand, six hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 47 55 94 110 188 220 235 470 517 940 1034 2068 2585 5170 10340 126493 252986 505972 632465 1264930 1391423 2529860 2782846 5565692 5945171 6957115 11890342 13914230 23780684 27828460 29725855 59451710 65396881 118903420 130793762 261587524 326984405 653968810 1307937620