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5305593960 = 23355545843
BaseRepresentation
bin1001111000011110…
…01111000001101000
3111200202102002200000
410330033033001220
541331213001320
62234245143000
7245322542652
oct47417170150
914622362600
105305593960
1122829622a7
1210409baa60
13667267914
143848cd6d2
15210bbcc90
hex13c3cf068

5305593960 has 96 divisors (see below), whose sum is σ = 17881849440. Its totient is φ = 1414822464.

The previous prime is 5305593959. The next prime is 5305593961. The reversal of 5305593960 is 693955035.

It is a happy number.

5305593960 is a `hidden beast` number, since 5 + 3 + 0 + 559 + 3 + 96 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5305593959) and next prime (5305593961).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (5305593961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 263202 + ... + 282641.

It is an arithmetic number, because the mean of its divisors is an integer number (186269265).

Almost surely, 25305593960 is an apocalyptic number.

It is an amenable number.

5305593960 is an abundant number, since it is smaller than the sum of its proper divisors (12576255480).

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

5305593960 is a wasteful number, since it uses less digits than its factorization.

5305593960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545869 (or 545853 counting only the distinct ones).

The product of its (nonzero) digits is 546750, while the sum is 45.

The square root of 5305593960 is about 72839.5082355723. The cubic root of 5305593960 is about 1744.1265908797.

The spelling of 5305593960 in words is "five billion, three hundred five million, five hundred ninety-three thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 243 270 324 360 405 486 540 648 810 972 1080 1215 1620 1944 2430 3240 4860 9720 545843 1091686 1637529 2183372 2729215 3275058 4366744 4912587 5458430 6550116 8187645 9825174 10916860 13100232 14737761 16375290 19650348 21833720 24562935 29475522 32750580 39300696 44213283 49125870 58951044 65501160 73688805 88426566 98251740 117902088 132639849 147377610 176853132 196503480 221066415 265279698 294755220 353706264 442132830 530559396 589510440 663199245 884265660 1061118792 1326398490 1768531320 2652796980 5305593960