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561011640 = 233575231277
BaseRepresentation
bin100001011100000…
…101101110111000
31110002122100021220
4201130011232320
52122104333030
6131400232040
716621343310
oct4134055670
91402570256
10561011640
11268749392
12137a6b620
138c2c7667
1454718440
15343baa10
hex21705bb8

561011640 has 128 divisors (see below), whose sum is σ = 1928655360. Its totient is φ = 127885824.

The previous prime is 561011603. The next prime is 561011663. The reversal of 561011640 is 46110165.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 561011640.

It is a congruent number.

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, 438682 + ... + 439958.

It is an arithmetic number, because the mean of its divisors is an integer number (15067620).

Almost surely, 2561011640 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 561011640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (964327680).

561011640 is an abundant number, since it is smaller than the sum of its proper divisors (1367643720).

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

561011640 is a wasteful number, since it uses less digits than its factorization.

561011640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1821 (or 1817 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 561011640 is about 23685.6842839720. The cubic root of 561011640 is about 824.7531015081.

The spelling of 561011640 in words is "five hundred sixty-one million, eleven thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 523 840 1046 1277 1569 2092 2554 2615 3138 3661 3831 4184 5108 5230 6276 6385 7322 7662 7845 8939 10216 10460 10983 12552 12770 14644 15324 15690 17878 18305 19155 20920 21966 25540 26817 29288 30648 31380 35756 36610 38310 43932 44695 51080 53634 54915 62760 71512 73220 76620 87864 89390 107268 109830 134085 146440 153240 178780 214536 219660 268170 357560 439320 536340 667871 1072680 1335742 2003613 2671484 3339355 4007226 4675097 5342968 6678710 8014452 9350194 10018065 13357420 14025291 16028904 18700388 20036130 23375485 26714840 28050582 37400776 40072260 46750970 56101164 70126455 80144520 93501940 112202328 140252910 187003880 280505820 561011640