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1448740680 = 2335176171151
BaseRepresentation
bin101011001011010…
…0000011101001000
310201222001122121020
41112112200131020
510431334200210
6355431312440
750621043522
oct12626403510
93658048536
101448740680
1168385a352
1234521b720
131a11b590a
14da59ca12
15872c1770
hex565a0748

1448740680 has 128 divisors (see below), whose sum is σ = 4613345280. Its totient is φ = 362700800.

The previous prime is 1448740679. The next prime is 1448740717. The reversal of 1448740680 is 860478441.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1258105 + ... + 1259255.

It is an arithmetic number, because the mean of its divisors is an integer number (36041760).

Almost surely, 21448740680 is an apocalyptic number.

1448740680 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 1448740680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2306672640).

1448740680 is an abundant number, since it is smaller than the sum of its proper divisors (3164604600).

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

1448740680 is a wasteful number, since it uses less digits than its factorization.

1448740680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1799 (or 1795 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 42.

The square root of 1448740680 is about 38062.3262557611. The cubic root of 1448740680 is about 1131.5234314369.

The spelling of 1448740680 in words is "one billion, four hundred forty-eight million, seven hundred forty thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 617 680 1020 1151 1234 1851 2040 2302 2468 3085 3453 3702 4604 4936 5755 6170 6906 7404 9208 9255 10489 11510 12340 13812 14808 17265 18510 19567 20978 23020 24680 27624 31467 34530 37020 39134 41956 46040 52445 58701 62934 69060 74040 78268 83912 97835 104890 117402 125868 138120 156536 157335 195670 209780 234804 251736 293505 314670 391340 419560 469608 587010 629340 710167 782680 1174020 1258680 1420334 2130501 2348040 2840668 3550835 4261002 5681336 7101670 8522004 10652505 12072839 14203340 17044008 21305010 24145678 28406680 36218517 42610020 48291356 60364195 72437034 85220040 96582712 120728390 144874068 181092585 241456780 289748136 362185170 482913560 724370340 1448740680