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561462660 = 22325112312329
BaseRepresentation
bin100001011101110…
…011110110000100
31110010111020222100
4201131303312010
52122213301120
6131414032100
716625232243
oct4135636604
91403436870
10561462660
11268a27230
12138048630
138c424a35
14547d495a
1534459490
hex21773d84

561462660 has 144 divisors (see below), whose sum is σ = 1938867840. Its totient is φ = 130183680.

The previous prime is 561462647. The next prime is 561462691. The reversal of 561462660 is 66264165.

It is a happy number.

561462660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39376 + ... + 51704.

It is an arithmetic number, because the mean of its divisors is an integer number (13464360).

Almost surely, 2561462660 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 561462660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (969433920).

561462660 is an abundant number, since it is smaller than the sum of its proper divisors (1377405180).

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

561462660 is a wasteful number, since it uses less digits than its factorization.

561462660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12378 (or 12373 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 561462660 is about 23695.2033120630. The cubic root of 561462660 is about 824.9740597904.

The spelling of 561462660 in words is "five hundred sixty-one million, four hundred sixty-two thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 23 30 33 36 44 45 46 55 60 66 69 90 92 99 110 115 132 138 165 180 198 207 220 230 253 276 330 345 396 414 460 495 506 660 690 759 828 990 1012 1035 1265 1380 1518 1980 2070 2277 2530 3036 3795 4140 4554 5060 7590 9108 11385 12329 15180 22770 24658 36987 45540 49316 61645 73974 110961 123290 135619 147948 184935 221922 246580 271238 283567 369870 406857 443844 542476 554805 567134 678095 739740 813714 850701 1109610 1134268 1220571 1356190 1417835 1627428 1701402 2034285 2219220 2441142 2552103 2712380 2835670 3119237 3402804 4068570 4253505 4882284 5104206 5671340 6102855 6238474 8137140 8507010 9357711 10208412 12205710 12476948 12760515 15596185 17014020 18715422 24411420 25521030 28073133 31192370 37430844 46788555 51042060 56146266 62384740 93577110 112292532 140365665 187154220 280731330 561462660