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5240586960 = 2432571039799
BaseRepresentation
bin1001110000101110…
…10000001011010000
3111112020002101211100
410320113100023100
541213042240320
62224003544400
7243603153120
oct47027201320
914466071740
105240586960
11224a1a1604
12102308b100
1365695693b
1437a00ac80
1520a12b790
hex1385d02d0

5240586960 has 120 divisors (see below), whose sum is σ = 20113891200. Its totient is φ = 1197847296.

The previous prime is 5240586943. The next prime is 5240586977. The reversal of 5240586960 is 696850425.

5240586960 is a `hidden beast` number, since 5 + 2 + 4 + 0 + 586 + 9 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (5240586943) and next prime (5240586977).

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent 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 23 ways as a sum of consecutive naturals, for example, 514860 + ... + 524939.

It is an arithmetic number, because the mean of its divisors is an integer number (167615760).

Almost surely, 25240586960 is an apocalyptic number.

It is an amenable number.

5240586960 is an abundant number, since it is smaller than the sum of its proper divisors (14873304240).

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

5240586960 is a wasteful number, since it uses less digits than its factorization.

5240586960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1039825 (or 1039816 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 5240586960 is about 72391.8984417455. The cubic root of 5240586960 is about 1736.9739715685.

The spelling of 5240586960 in words is "five billion, two hundred forty million, five hundred eighty-six thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2520 5040 1039799 2079598 3119397 4159196 5198995 6238794 7278593 8318392 9358191 10397990 12477588 14557186 15596985 16636784 18716382 20795980 21835779 24955176 29114372 31193970 36392965 37432764 41591960 43671558 46790955 49910352 58228744 62387940 65507337 72785930 74865528 83183920 87343116 93581910 109178895 116457488 124775880 131014674 145571860 149731056 174686232 187163820 218357790 249551760 262029348 291143720 327536685 349372464 374327640 436715580 524058696 582287440 655073370 748655280 873431160 1048117392 1310146740 1746862320 2620293480 5240586960