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56754140 = 22519233641
BaseRepresentation
bin1101100001111…
…1111111011100
310221210102001012
43120133333130
5104012113030
65344234352
71256254652
oct330377734
9127712035
1056754140
112a044253
121700b9b8
13b9b1741
147774dd2
154eb1095
hex361ffdc

56754140 has 48 divisors (see below), whose sum is σ = 126191520. Its totient is φ = 21381120.

The previous prime is 56754107. The next prime is 56754151. The reversal of 56754140 is 4145765.

It is a junction number, because it is equal to n+sod(n) for n = 56754097 and 56754106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88220 + ... + 88860.

It is an arithmetic number, because the mean of its divisors is an integer number (2628990).

Almost surely, 256754140 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 56754140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63095760).

56754140 is an abundant number, since it is smaller than the sum of its proper divisors (69437380).

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

56754140 is a wasteful number, since it uses less digits than its factorization.

56754140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 902 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 32.

The square root of 56754140 is about 7533.5343630994. The cubic root of 56754140 is about 384.2959867113.

The spelling of 56754140 in words is "fifty-six million, seven hundred fifty-four thousand, one hundred forty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 233 380 466 641 932 1165 1282 2330 2564 3205 4427 4660 6410 8854 12179 12820 17708 22135 24358 44270 48716 60895 88540 121790 149353 243580 298706 597412 746765 1493530 2837707 2987060 5675414 11350828 14188535 28377070 56754140