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2752906020 = 2235318591723
BaseRepresentation
bin1010010000010110…
…0000001100100100
321002212002010010020
42210011200030210
521114220443040
61133100155140
7125135213034
oct24405401444
97085063106
102752906020
111192a42047
12649b38ab0
1334b44b797
141c18858c4
15111a35cd0
hexa4160324

2752906020 has 96 divisors (see below), whose sum is σ = 7970672640. Its totient is φ = 709188480.

The previous prime is 2752906007. The next prime is 2752906021. The reversal of 2752906020 is 206092572.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2752906021) 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, 1596879 + ... + 1598601.

It is an arithmetic number, because the mean of its divisors is an integer number (83027840).

Almost surely, 22752906020 is an apocalyptic number.

2752906020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2752906020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3985336320).

2752906020 is an abundant number, since it is smaller than the sum of its proper divisors (5217766620).

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

2752906020 is a wasteful number, since it uses less digits than its factorization.

2752906020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2625 (or 2623 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 2752906020 is about 52468.1429059577. The cubic root of 2752906020 is about 1401.5129935559.

Adding to 2752906020 its reverse (206092572), we get a palindrome (2958998592).

The spelling of 2752906020 in words is "two billion, seven hundred fifty-two million, nine hundred six thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 620 859 930 1718 1723 1860 2577 3436 3446 4295 5154 5169 6892 8590 8615 10308 10338 12885 17180 17230 20676 25770 25845 26629 34460 51540 51690 53258 53413 79887 103380 106516 106826 133145 159774 160239 213652 266290 267065 319548 320478 399435 532580 534130 640956 798870 801195 1068260 1480057 1597740 1602390 2960114 3204780 4440171 5920228 7400285 8880342 14800570 17760684 22200855 29601140 44401710 45881767 88803420 91763534 137645301 183527068 229408835 275290602 458817670 550581204 688226505 917635340 1376453010 2752906020