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1307480760 = 233255216971
BaseRepresentation
bin100110111101110…
…1001001010111000
310101010020220102100
41031323221022320
510134203341020
6333423503400
744254255155
oct11573511270
93333226370
101307480760
11611047713
12305a57b60
1317ab56c71
14c590b22c
1579bbba90
hex4dee92b8

1307480760 has 96 divisors (see below), whose sum is σ = 4258079280. Its totient is φ = 347942400.

The previous prime is 1307480743. The next prime is 1307480773. The reversal of 1307480760 is 670847031.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 184075 + ... + 191045.

Almost surely, 21307480760 is an apocalyptic number.

1307480760 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 1307480760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2129039640).

1307480760 is an abundant number, since it is smaller than the sum of its proper divisors (2950598520).

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

1307480760 is a wasteful number, since it uses less digits than its factorization.

1307480760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7509 (or 7502 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 1307480760 is about 36159.1034180882. The cubic root of 1307480760 is about 1093.4823285775.

The spelling of 1307480760 in words is "one billion, three hundred seven million, four hundred eighty thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 521 1042 1563 2084 2605 3126 4168 4689 5210 6252 6971 7815 9378 10420 12504 13942 15630 18756 20840 20913 23445 27884 31260 34855 37512 41826 46890 55768 62520 62739 69710 83652 93780 104565 125478 139420 167304 187560 209130 250956 278840 313695 418260 501912 627390 836520 1254780 2509560 3631891 7263782 10895673 14527564 18159455 21791346 29055128 32687019 36318910 43582692 54478365 65374038 72637820 87165384 108956730 130748076 145275640 163435095 217913460 261496152 326870190 435826920 653740380 1307480760