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53013820 = 22517413803
BaseRepresentation
bin1100101000111…
…0110100111100
310200202101021211
43022032310330
5102032420240
65132134204
71212416146
oct312166474
9120671254
1053013820
1127a1a082
1215907364
13aca2132
14707dc96
1549c2bea
hex328ed3c

53013820 has 48 divisors (see below), whose sum is σ = 120784608. Its totient is φ = 19466240.

The previous prime is 53013811. The next prime is 53013847. The reversal of 53013820 is 2831035.

It is a super-2 number, since 2×530138202 = 5620930221984800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 53013791 and 53013800.

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, 12039 + ... + 15841.

It is an arithmetic number, because the mean of its divisors is an integer number (2516346).

Almost surely, 253013820 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 53013820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60392304).

53013820 is an abundant number, since it is smaller than the sum of its proper divisors (67770788).

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

53013820 is a wasteful number, since it uses less digits than its factorization.

53013820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3870 (or 3868 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 53013820 is about 7281.0589889109. The cubic root of 53013820 is about 375.6612215590.

Adding to 53013820 its reverse (2831035), we get a palindrome (55844855).

The spelling of 53013820 in words is "fifty-three million, thirteen thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 41 68 82 85 164 170 205 340 410 697 820 1394 2788 3485 3803 6970 7606 13940 15212 19015 38030 64651 76060 129302 155923 258604 311846 323255 623692 646510 779615 1293020 1559230 2650691 3118460 5301382 10602764 13253455 26506910 53013820