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561120846 = 2311134367227
BaseRepresentation
bin100001011100100…
…000011001001110
31110002211220002120
4201130200121032
52122121331341
6131402433410
716622306556
oct4134403116
91402756076
10561120846
11268813440
12137b02866
138c335290
1454746166
15343dd066
hex2172064e

561120846 has 128 divisors (see below), whose sum is σ = 1375266816. Its totient is φ = 150353280.

The previous prime is 561120841. The next prime is 561120869. The reversal of 561120846 is 648021165.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (561120841) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2471785 + ... + 2472011.

It is an arithmetic number, because the mean of its divisors is an integer number (10744272).

Almost surely, 2561120846 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 561120846, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687633408).

561120846 is an abundant number, since it is smaller than the sum of its proper divisors (814145970).

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

561120846 is a wasteful number, since it uses less digits than its factorization.

561120846 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366.

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 561120846 is about 23687.9894883462. The cubic root of 561120846 is about 824.8066132580.

The spelling of 561120846 in words is "five hundred sixty-one million, one hundred twenty thousand, eight hundred forty-six".

Divisors: 1 2 3 6 11 13 22 26 33 39 43 66 67 78 86 129 134 143 201 227 258 286 402 429 454 473 559 681 737 858 871 946 1118 1362 1419 1474 1677 1742 2211 2497 2613 2838 2881 2951 3354 4422 4994 5226 5762 5902 6149 7491 8643 8853 9581 9761 12298 14982 15209 17286 17706 18447 19162 19522 28743 29283 30418 31691 32461 36894 37453 45627 57486 58566 63382 64922 74906 91254 95073 97383 107371 112359 126893 167299 190146 194766 197717 214742 224718 253786 322113 334598 380679 395434 411983 501897 593151 644226 653987 761358 823966 1003794 1186302 1235949 1307974 1395823 1961961 2174887 2471898 2791646 3923922 4187469 4349774 6524661 7193857 8374938 8501831 13049322 14387714 17003662 21581571 25505493 43163142 51010986 93520141 187040282 280560423 561120846