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5640080480 = 255173166889
BaseRepresentation
bin1010100000010110…
…01100110001100000
3112120001210202220122
411100023030301200
543022330033410
62331354255412
7256523615216
oct52013146140
915501722818
105640080480
112434750a41
121114a27568
136bb64b838
143b70bccb6
1523023ee55
hex1502ccc60

5640080480 has 96 divisors (see below), whose sum is σ = 14563825920. Its totient is φ = 2054799360.

The previous prime is 5640080473. The next prime is 5640080587. The reversal of 5640080480 is 840800465.

It is a self number, because there is not a number n which added to its sum of digits gives 5640080480.

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, 50876 + ... + 117764.

It is an arithmetic number, because the mean of its divisors is an integer number (151706520).

Almost surely, 25640080480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5640080480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7281912960).

5640080480 is an abundant number, since it is smaller than the sum of its proper divisors (8923745440).

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

5640080480 is a wasteful number, since it uses less digits than its factorization.

5640080480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66952 (or 66944 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 35.

The square root of 5640080480 is about 75100.4692395460. The cubic root of 5640080480 is about 1780.0345572553.

The spelling of 5640080480 in words is "five billion, six hundred forty million, eighty thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 31 32 34 40 62 68 80 85 124 136 155 160 170 248 272 310 340 496 527 544 620 680 992 1054 1240 1360 2108 2480 2635 2720 4216 4960 5270 8432 10540 16864 21080 42160 66889 84320 133778 267556 334445 535112 668890 1070224 1137113 1337780 2073559 2140448 2274226 2675560 4147118 4548452 5351120 5685565 8294236 9096904 10367795 10702240 11371130 16588472 18193808 20735590 22742260 33176944 35250503 36387616 41471180 45484520 66353888 70501006 82942360 90969040 141002012 165884720 176252515 181938080 282004024 331769440 352505030 564008048 705010060 1128016096 1410020120 2820040240 5640080480