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1304137680 = 24355433907
BaseRepresentation
bin100110110111011…
…1000111111010000
310100212222001120120
41031232320333100
510132324401210
6333224110240
744213662446
oct11556707720
93325861516
101304137680
1160a173a3a
12304905380
1317a256401
14c52bab96
157975b270
hex4dbb8fd0

1304137680 has 40 divisors (see below), whose sum is σ = 4042827552. Its totient is φ = 347769984.

The previous prime is 1304137621. The next prime is 1304137691. The reversal of 1304137680 is 867314031.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2716714 + ... + 2717193.

Almost surely, 21304137680 is an apocalyptic number.

1304137680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1304137680 is an abundant number, since it is smaller than the sum of its proper divisors (2738689872).

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

1304137680 is a wasteful number, since it uses less digits than its factorization.

1304137680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5433923 (or 5433917 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 1304137680 is about 36112.8464677045. The cubic root of 1304137680 is about 1092.5495630387.

It can be divided in two parts, 13041 and 37680, that added together give a triangular number (50721 = T318).

The spelling of 1304137680 in words is "one billion, three hundred four million, one hundred thirty-seven thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 5433907 10867814 16301721 21735628 27169535 32603442 43471256 54339070 65206884 81508605 86942512 108678140 130413768 163017210 217356280 260827536 326034420 434712560 652068840 1304137680