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52114020 = 22357167743
BaseRepresentation
bin1100011011001…
…1001001100100
310122001122222220
43012303021210
5101320122040
65100552340
71201650630
oct306631144
9118048886
1052114020
1127465042
12155526b0
13aa486ca
146cc7dc0
1548962d0
hex31b3264

52114020 has 96 divisors (see below), whose sum is σ = 167989248. Its totient is φ = 11824512.

The previous prime is 52114003. The next prime is 52114031. The reversal of 52114020 is 2041125.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69769 + ... + 70511.

It is an arithmetic number, because the mean of its divisors is an integer number (1749888).

Almost surely, 252114020 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 52114020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83994624).

52114020 is an abundant number, since it is smaller than the sum of its proper divisors (115875228).

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

52114020 is a wasteful number, since it uses less digits than its factorization.

52114020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 929 (or 927 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 52114020 is about 7219.0040864374. The cubic root of 52114020 is about 373.5237248128.

Adding to 52114020 its reverse (2041125), we get a palindrome (54155145).

It can be divided in two parts, 521 and 14020, that added together give a palindrome (14541).

The spelling of 52114020 in words is "fifty-two million, one hundred fourteen thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 167 210 334 420 501 668 743 835 1002 1169 1486 1670 2004 2229 2338 2505 2972 3340 3507 3715 4458 4676 5010 5201 5845 7014 7430 8916 10020 10402 11145 11690 14028 14860 15603 17535 20804 22290 23380 26005 31206 35070 44580 52010 62412 70140 78015 104020 124081 156030 248162 312060 372243 496324 620405 744486 868567 1240810 1488972 1737134 1861215 2481620 2605701 3474268 3722430 4342835 5211402 7444860 8685670 10422804 13028505 17371340 26057010 52114020