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561666040 = 235136117707
BaseRepresentation
bin100001011110100…
…101011111111000
31110010212120221221
4201132211133320
52122241303130
6131422241424
716630040215
oct4136453770
91403776857
10561666040
11269056011
12138126274
138c496490
1454848b0c
153449987a
hex217a57f8

561666040 has 64 divisors (see below), whose sum is σ = 1383348960. Its totient is φ = 203973120.

The previous prime is 561666023. The next prime is 561666041. The reversal of 561666040 is 40666165.

It is a junction number, because it is equal to n+sod(n) for n = 561665987 and 561666005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (561666041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22867 + ... + 40573.

Almost surely, 2561666040 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 561666040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691674480).

561666040 is an abundant number, since it is smaller than the sum of its proper divisors (821682920).

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

561666040 is a wasteful number, since it uses less digits than its factorization.

561666040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17792 (or 17788 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The square root of 561666040 is about 23699.4945093772. The cubic root of 561666040 is about 825.0736585596.

The spelling of 561666040 in words is "five hundred sixty-one million, six hundred sixty-six thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 61 65 104 122 130 244 260 305 488 520 610 793 1220 1586 2440 3172 3965 6344 7930 15860 17707 31720 35414 70828 88535 141656 177070 230191 354140 460382 708280 920764 1080127 1150955 1841528 2160254 2301910 4320508 4603820 5400635 8641016 9207640 10801270 14041651 21602540 28083302 43205080 56166604 70208255 112333208 140416510 280833020 561666040