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1561013280 = 253257431459
BaseRepresentation
bin101110100001011…
…0010110000100000
311000210022200122200
41131002302300200
511144104411110
6414521533200
753453252061
oct13502626040
94023280580
101561013280
11731173422
12376944200
131bb5354c8
1410b466568
159209c6c0
hex5d0b2c20

1561013280 has 144 divisors (see below), whose sum is σ = 5337783360. Its totient is φ = 415425024.

The previous prime is 1561013221. The next prime is 1561013281. The reversal of 1561013280 is 823101651.

1561013280 is a `hidden beast` number, since 15 + 610 + 1 + 32 + 8 + 0 = 666.

1561013280 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (1561013281) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1069191 + ... + 1070649.

It is an arithmetic number, because the mean of its divisors is an integer number (37067940).

Almost surely, 21561013280 is an apocalyptic number.

1561013280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1561013280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2668891680).

1561013280 is an abundant number, since it is smaller than the sum of its proper divisors (3776770080).

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

1561013280 is a wasteful number, since it uses less digits than its factorization.

1561013280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2223 (or 2212 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 1561013280 is about 39509.6605907973. The cubic root of 1561013280 is about 1160.0290519874.

The spelling of 1561013280 in words is "one billion, five hundred sixty-one million, thirteen thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 743 1440 1459 1486 2229 2918 2972 3715 4377 4458 5836 5944 6687 7295 7430 8754 8916 11145 11672 11888 13131 13374 14590 14860 17508 17832 21885 22290 23344 23776 26262 26748 29180 29720 33435 35016 35664 43770 44580 46688 52524 53496 58360 59440 65655 66870 70032 71328 87540 89160 105048 106992 116720 118880 131310 133740 140064 175080 178320 210096 213984 233440 262620 267480 350160 356640 420192 525240 534960 700320 1050480 1069920 1084037 2100960 2168074 3252111 4336148 5420185 6504222 8672296 9756333 10840370 13008444 16260555 17344592 19512666 21680740 26016888 32521110 34689184 39025332 43361480 48781665 52033776 65042220 78050664 86722960 97563330 104067552 130084440 156101328 173445920 195126660 260168880 312202656 390253320 520337760 780506640 1561013280