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51125220 = 22325431659
BaseRepresentation
bin1100001100000…
…1101111100100
310120012102121200
43003001233210
5101042001340
65023442500
71160362056
oct303015744
9116172550
1051125220
112694a153
1215156430
13a790613
146b0b8d6
15474d330
hex30c1be4

51125220 has 72 divisors (see below), whose sum is σ = 155675520. Its totient is φ = 13581120.

The previous prime is 51125201. The next prime is 51125279. The reversal of 51125220 is 2252115.

It is a super-2 number, since 2×511252202 = 5227576240096800, which contains 22 as substring.

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 = 51125193 and 51125202.

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, 77251 + ... + 77909.

It is an arithmetic number, because the mean of its divisors is an integer number (2162160).

Almost surely, 251125220 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 51125220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77837760).

51125220 is an abundant number, since it is smaller than the sum of its proper divisors (104550300).

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

51125220 is a wasteful number, since it uses less digits than its factorization.

51125220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1105 (or 1100 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 51125220 is about 7150.1902072602. The cubic root of 51125220 is about 371.1462383898.

Adding to 51125220 its reverse (2252115), we get a palindrome (53377335).

The spelling of 51125220 in words is "fifty-one million, one hundred twenty-five thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 431 659 862 1293 1318 1724 1977 2155 2586 2636 3295 3879 3954 4310 5172 5931 6465 6590 7758 7908 8620 9885 11862 12930 13180 15516 19395 19770 23724 25860 29655 38790 39540 59310 77580 118620 284029 568058 852087 1136116 1420145 1704174 2556261 2840290 3408348 4260435 5112522 5680580 8520870 10225044 12781305 17041740 25562610 51125220