Search a number
-
+
5608166720 = 265131779301
BaseRepresentation
bin1010011100100010…
…11101010101000000
3112110211202101110112
411032101131111000
542441142313340
62324254250452
7255655426202
oct51621352500
915424671415
105608166720
112418733732
1211061b6a28
136b4b56760
143b2b72772
1522c539065
hex14e45d540

5608166720 has 112 divisors (see below), whose sum is σ = 15227887248. Its totient is φ = 1948876800.

The previous prime is 5608166671. The next prime is 5608166731. The reversal of 5608166720 is 276618065.

It can be written as a sum of positive squares in 8 ways, for example, as 9535744 + 5598630976 = 3088^2 + 74824^2 .

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, 31070 + ... + 110370.

It is an arithmetic number, because the mean of its divisors is an integer number (135963279).

Almost surely, 25608166720 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 5608166720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7613943624).

5608166720 is an abundant number, since it is smaller than the sum of its proper divisors (9619720528).

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

5608166720 is a wasteful number, since it uses less digits than its factorization.

5608166720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79348 (or 79338 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 41.

The square root of 5608166720 is about 74887.6940491560. The cubic root of 5608166720 is about 1776.6708298280.

The spelling of 5608166720 in words is "five billion, six hundred eight million, one hundred sixty-six thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 17 20 26 32 34 40 52 64 65 68 80 85 104 130 136 160 170 208 221 260 272 320 340 416 442 520 544 680 832 884 1040 1088 1105 1360 1768 2080 2210 2720 3536 4160 4420 5440 7072 8840 14144 17680 35360 70720 79301 158602 317204 396505 634408 793010 1030913 1268816 1348117 1586020 2061826 2537632 2696234 3172040 4123652 5075264 5154565 5392468 6344080 6740585 8247304 10309130 10784936 12688160 13481170 16494608 17525521 20618260 21569872 25376320 26962340 32989216 35051042 41236520 43139744 53924680 65978432 70102084 82473040 86279488 87627605 107849360 140204168 164946080 175255210 215698720 280408336 329892160 350510420 431397440 560816672 701020840 1121633344 1402041680 2804083360 5608166720