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51435020 = 22571359479
BaseRepresentation
bin1100010000110…
…1011000001100
310120210011120202
43010031120030
5101131410040
65034233032
71163122220
oct304153014
9116704522
1051435020
112704098a
1215285778
13a86b630
146b8c780
1547b0015
hex310d60c

51435020 has 96 divisors (see below), whose sum is σ = 135475200. Its totient is φ = 15969024.

The previous prime is 51435011. The next prime is 51435023. The reversal of 51435020 is 2053415.

It is a super-2 number, since 2×514350202 = 5291122564800800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 51434983 and 51435001.

It is not an unprimeable number, because it can be changed into a prime (51435023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107141 + ... + 107619.

It is an arithmetic number, because the mean of its divisors is an integer number (1411200).

Almost surely, 251435020 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 51435020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67737600).

51435020 is an abundant number, since it is smaller than the sum of its proper divisors (84040180).

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

51435020 is a wasteful number, since it uses less digits than its factorization.

51435020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 51435020 is about 7171.8212470753. The cubic root of 51435020 is about 371.8943990539.

Adding to 51435020 its reverse (2053415), we get a palindrome (53488435).

The spelling of 51435020 in words is "fifty-one million, four hundred thirty-five thousand, twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 59 65 70 91 118 130 140 182 236 260 295 364 413 455 479 590 767 826 910 958 1180 1534 1652 1820 1916 2065 2395 3068 3353 3835 4130 4790 5369 6227 6706 7670 8260 9580 10738 12454 13412 15340 16765 21476 24908 26845 28261 31135 33530 43589 53690 56522 62270 67060 87178 107380 113044 124540 141305 174356 197827 217945 282610 367393 395654 435890 565220 734786 791308 871780 989135 1469572 1836965 1978270 2571751 3673930 3956540 5143502 7347860 10287004 12858755 25717510 51435020