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5605290960 = 2435712111559
BaseRepresentation
bin1010011100001100…
…11111001111010000
3112110122100021122220
411032012133033100
542434423302320
62324112501040
7255622121103
oct51606371720
915418307586
105605290960
11241704a075
12110524a780
136b438a819
143b262473a
1522c16be40
hex14e19f3d0

5605290960 has 160 divisors (see below), whose sum is σ = 17716008960. Its totient is φ = 1465766400.

The previous prime is 5605290941. The next prime is 5605290967. The reversal of 5605290960 is 690925065.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5605290967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3594661 + ... + 3596219.

It is an arithmetic number, because the mean of its divisors is an integer number (110725056).

Almost surely, 25605290960 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 5605290960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8858004480).

5605290960 is an abundant number, since it is smaller than the sum of its proper divisors (12110718000).

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

5605290960 is a wasteful number, since it uses less digits than its factorization.

5605290960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1857 (or 1851 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 42.

The square root of 5605290960 is about 74868.4911027329. The cubic root of 5605290960 is about 1776.3670970324.

The spelling of 5605290960 in words is "five billion, six hundred five million, two hundred ninety thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 71 80 120 142 211 213 240 284 355 422 426 568 633 710 844 852 1055 1065 1136 1266 1420 1559 1688 1704 2110 2130 2532 2840 3118 3165 3376 3408 4220 4260 4677 5064 5680 6236 6330 7795 8440 8520 9354 10128 12472 12660 14981 15590 16880 17040 18708 23385 24944 25320 29962 31180 37416 44943 46770 50640 59924 62360 74832 74905 89886 93540 110689 119848 124720 149810 179772 187080 221378 224715 239696 299620 328949 332067 359544 374160 442756 449430 553445 599240 657898 664134 719088 885512 898860 986847 1106890 1198480 1315796 1328268 1644745 1660335 1771024 1797720 1973694 2213780 2631592 2656536 3289490 3320670 3595440 3947388 4427560 4934235 5263184 5313072 6578980 6641340 7894776 8855120 9868470 13157960 13282680 15789552 19736940 23355379 26315920 26565360 39473880 46710758 70066137 78947760 93421516 116776895 140132274 186843032 233553790 280264548 350330685 373686064 467107580 560529096 700661370 934215160 1121058192 1401322740 1868430320 2802645480 5605290960