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561878640 = 243351913691
BaseRepresentation
bin100001011111011…
…001011001110000
31110011021101121000
4201133121121300
52122320104030
6131431002000
716631614101
oct4137313160
91404241530
10561878640
11269190814
12138209300
138c53c18b
14548a23a8
15344dc860
hex217d9670

561878640 has 160 divisors (see below), whose sum is σ = 2037369600. Its totient is φ = 141937920.

The previous prime is 561878563. The next prime is 561878651. The reversal of 561878640 is 46878165.

It is a happy number.

561878640 is a `hidden beast` number, since 561 + 8 + 7 + 86 + 4 + 0 = 666.

561878640 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 (45).

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, 34195 + ... + 47885.

It is an arithmetic number, because the mean of its divisors is an integer number (12733560).

Almost surely, 2561878640 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 561878640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1018684800).

561878640 is an abundant number, since it is smaller than the sum of its proper divisors (1475490960).

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

561878640 is a wasteful number, since it uses less digits than its factorization.

561878640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13732 (or 13720 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 561878640 is about 23703.9794127484. The cubic root of 561878640 is about 825.1777468255.

The spelling of 561878640 in words is "five hundred sixty-one million, eight hundred seventy-eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 27 30 36 38 40 45 48 54 57 60 72 76 80 90 95 108 114 120 135 144 152 171 180 190 216 228 240 270 285 304 342 360 380 432 456 513 540 570 684 720 760 855 912 1026 1080 1140 1368 1520 1710 2052 2160 2280 2565 2736 3420 4104 4560 5130 6840 8208 10260 13680 13691 20520 27382 41040 41073 54764 68455 82146 109528 123219 136910 164292 205365 219056 246438 260129 273820 328584 369657 410730 492876 520258 547640 616095 657168 739314 780387 821460 985752 1040516 1095280 1232190 1300645 1478628 1560774 1642920 1848285 1971504 2081032 2341161 2464380 2601290 2957256 3121548 3285840 3696570 3901935 4162064 4682322 4928760 5202580 5914512 6243096 7023483 7393140 7803870 9364644 9857520 10405160 11705805 12486192 14046966 14786280 15607740 18729288 20810320 23411610 28093932 29572560 31215480 35117415 37458576 46823220 56187864 62430960 70234830 93646440 112375728 140469660 187292880 280939320 561878640