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5785580640 = 253571721899
BaseRepresentation
bin1010110001101100…
…01111010001100000
3112221012120221121110
411120312033101200
543322102040030
62354033023320
7263241424020
oct53066172140
915835527543
105785580640
1124a989a404
1211556b4b40
137128334c8
143cc555a80
1523cdd11b0
hex158d8f460

5785580640 has 96 divisors (see below), whose sum is σ = 20828102400. Its totient is φ = 1322417664.

The previous prime is 5785580639. The next prime is 5785580663. The reversal of 5785580640 is 460855875.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 5785580640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 857590 + ... + 864309.

It is an arithmetic number, because the mean of its divisors is an integer number (216959400).

Almost surely, 25785580640 is an apocalyptic number.

It is an amenable number.

5785580640 is an abundant number, since it is smaller than the sum of its proper divisors (15042521760).

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

5785580640 is a wasteful number, since it uses less digits than its factorization.

5785580640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1721924 (or 1721916 counting only the distinct ones).

The product of its (nonzero) digits is 1344000, while the sum is 48.

The square root of 5785580640 is about 76063.0044108172. The cubic root of 5785580640 is about 1795.2116188667.

The spelling of 5785580640 in words is "five billion, seven hundred eighty-five million, five hundred eighty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1680 3360 1721899 3443798 5165697 6887596 8609495 10331394 12053293 13775192 17218990 20662788 24106586 25828485 27550384 34437980 36159879 41325576 48213172 51656970 55100768 60266465 68875960 72319758 82651152 96426344 103313940 120532930 137751920 144639516 165302304 180799395 192852688 206627880 241065860 275503840 289279032 361598790 385705376 413255760 482131720 578558064 723197580 826511520 964263440 1157116128 1446395160 1928526880 2892790320 5785580640