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56001420 = 22325421739
BaseRepresentation
bin1101010110100…
…0001110001100
310220101011111200
43111220032030
5103314021140
65320145500
71250001306
oct325501614
9126334450
1056001420
112967a772
1216908290
13b7a9c47
14761a976
154db3030
hex356838c

56001420 has 72 divisors (see below), whose sum is σ = 170504880. Its totient is φ = 14878080.

The previous prime is 56001401. The next prime is 56001431. The reversal of 56001420 is 2410065.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 56001393 and 56001402.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75411 + ... + 76149.

Almost surely, 256001420 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 56001420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85252440).

56001420 is an abundant number, since it is smaller than the sum of its proper divisors (114503460).

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

56001420 is a wasteful number, since it uses less digits than its factorization.

56001420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1175 (or 1170 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 56001420 is about 7483.4096506873. The cubic root of 56001420 is about 382.5894702918.

Adding to 56001420 its reverse (2410065), we get a palindrome (58411485).

The spelling of 56001420 in words is "fifty-six million, one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 421 739 842 1263 1478 1684 2105 2217 2526 2956 3695 3789 4210 4434 5052 6315 6651 7390 7578 8420 8868 11085 12630 13302 14780 15156 18945 22170 25260 26604 33255 37890 44340 66510 75780 133020 311119 622238 933357 1244476 1555595 1866714 2800071 3111190 3733428 4666785 5600142 6222380 9333570 11200284 14000355 18667140 28000710 56001420