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561202840 = 23511383127
BaseRepresentation
bin100001011100110…
…100011010011000
31110010000001120101
4201130310122120
52122131442330
6131404305144
716623100612
oct4134643230
91403001511
10561202840
1126886a000
12137b421b4
138c3636b3
1454767db2
15344074ca
hex21734698

561202840 has 128 divisors (see below), whose sum is σ = 1416683520. Its totient is φ = 200027520.

The previous prime is 561202823. The next prime is 561202843. The reversal of 561202840 is 48202165.

It is a junction number, because it is equal to n+sod(n) for n = 561202799 and 561202808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (561202843) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 4418857 + ... + 4418983.

It is an arithmetic number, because the mean of its divisors is an integer number (11067840).

Almost surely, 2561202840 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 561202840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708341760).

561202840 is an abundant number, since it is smaller than the sum of its proper divisors (855480680).

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

561202840 is a wasteful number, since it uses less digits than its factorization.

561202840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 561202840 is about 23689.7201334250. The cubic root of 561202840 is about 824.8467863627.

It can be divided in two parts, 561 and 202840, that added together give a square (203401 = 4512).

The spelling of 561202840 in words is "five hundred sixty-one million, two hundred two thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 83 88 110 121 127 166 220 242 254 332 415 440 484 508 605 635 664 830 913 968 1016 1210 1270 1331 1397 1660 1826 2420 2540 2662 2794 3320 3652 4565 4840 5080 5324 5588 6655 6985 7304 9130 10043 10541 10648 11176 13310 13970 15367 18260 20086 21082 26620 27940 30734 36520 40172 42164 50215 52705 53240 55880 61468 76835 80344 84328 100430 105410 110473 115951 122936 153670 169037 200860 210820 220946 231902 307340 338074 401720 421640 441892 463804 552365 579755 614680 676148 845185 883784 927608 1104730 1159510 1275461 1352296 1690370 2209460 2319020 2550922 3380740 4418920 4638040 5101844 6377305 6761480 10203688 12754610 14030071 25509220 28060142 51018440 56120284 70150355 112240568 140300710 280601420 561202840