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5608638120 = 23351914531693
BaseRepresentation
bin1010011100100110…
…10000011010101000
3112110212122100002210
411032103100122220
542441302404440
62324312325120
7255662431431
oct51623203250
915425570083
105608638120
112418a25918
1211063a37a0
136b4c901a7
143b2c56488
1522c5cda80
hex14e4d06a8

5608638120 has 128 divisors (see below), whose sum is σ = 17734147200. Its totient is φ = 1415107584.

The previous prime is 5608638109. The next prime is 5608638137. The reversal of 5608638120 is 218368065.

It is a happy number.

It is a super-2 number, since 2×56086381202 = 62913643122234268800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3311994 + ... + 3313686.

It is an arithmetic number, because the mean of its divisors is an integer number (138548025).

Almost surely, 25608638120 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 5608638120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8867073600).

5608638120 is an abundant number, since it is smaller than the sum of its proper divisors (12125509080).

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

5608638120 is a wasteful number, since it uses less digits than its factorization.

5608638120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3179 (or 3175 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 5608638120 is about 74890.8413626126. The cubic root of 5608638120 is about 1776.7206083745.

The spelling of 5608638120 in words is "five billion, six hundred eight million, six hundred thirty-eight thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1140 1453 1693 2280 2906 3386 4359 5079 5812 6772 7265 8465 8718 10158 11624 13544 14530 16930 17436 20316 21795 25395 27607 29060 32167 33860 34872 40632 43590 50790 55214 58120 64334 67720 82821 87180 96501 101580 110428 128668 138035 160835 165642 174360 193002 203160 220856 257336 276070 321670 331284 386004 414105 482505 552140 643340 662568 772008 828210 965010 1104280 1286680 1656420 1930020 2459929 3312840 3860040 4919858 7379787 9839716 12299645 14759574 19679432 24599290 29519148 36898935 46738651 49198580 59038296 73797870 93477302 98397160 140215953 147595740 186954604 233693255 280431906 295191480 373909208 467386510 560863812 701079765 934773020 1121727624 1402159530 1869546040 2804319060 5608638120