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56807140 = 2251341732
BaseRepresentation
bin1101100010110…
…0111011100100
310221220002202011
43120230323210
5104020312030
65345324004
71256565325
oct330547344
9127802664
1056807140
112a080055
1217036604
13b9cc8c0
14778a44c
154ec1b2a
hex362cee4

56807140 has 72 divisors (see below), whose sum is σ = 133432488. Its totient is φ = 20183040.

The previous prime is 56807129. The next prime is 56807141. The reversal of 56807140 is 4170865.

It can be written as a sum of positive squares in 12 ways, for example, as 33362176 + 23444964 = 5776^2 + 4842^2 .

It is not an unprimeable number, because it can be changed into a prime (56807141) 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, 778144 + ... + 778216.

It is an arithmetic number, because the mean of its divisors is an integer number (1853229).

Almost surely, 256807140 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 56807140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66716244).

56807140 is an abundant number, since it is smaller than the sum of its proper divisors (76625348).

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

56807140 is a wasteful number, since it uses less digits than its factorization.

56807140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The square root of 56807140 is about 7537.0511474979. The cubic root of 56807140 is about 384.4155747592.

The spelling of 56807140 in words is "fifty-six million, eight hundred seven thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 41 52 65 73 82 130 146 164 205 260 292 365 410 533 730 820 949 1066 1460 1898 2132 2665 2993 3796 4745 5329 5330 5986 9490 10658 10660 11972 14965 18980 21316 26645 29930 38909 53290 59860 69277 77818 106580 138554 155636 194545 218489 277108 346385 389090 436978 692770 778180 873956 1092445 1385540 2184890 2840357 4369780 5680714 11361428 14201785 28403570 56807140