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2010165390 = 233530724251
BaseRepresentation
bin111011111010000…
…1011000010001110
312012002110222112000
41313310023002032
513104100243030
6531244453130
7100546060332
oct16764130216
95162428460
102010165390
11941760012
1248124a1a6
132605c629c
14150d837c2
15bb71e860
hex77d0b08e

2010165390 has 64 divisors (see below), whose sum is σ = 5378123520. Its totient is φ = 534276000.

The previous prime is 2010165379. The next prime is 2010165413. The reversal of 2010165390 is 935610102.

2010165390 is a `hidden beast` number, since 2 + 0 + 1 + 0 + 1 + 653 + 9 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 70765 + ... + 95015.

It is an arithmetic number, because the mean of its divisors is an integer number (84033180).

Almost surely, 22010165390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2010165390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2689061760).

2010165390 is an abundant number, since it is smaller than the sum of its proper divisors (3367958130).

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

2010165390 is a wasteful number, since it uses less digits than its factorization.

2010165390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24574 (or 24568 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 2010165390 is about 44834.8680158646. The cubic root of 2010165390 is about 1262.0520417089.

Adding to 2010165390 its reverse (935610102), we get a palindrome (2945775492).

It can be divided in two parts, 20101 and 65390, that added together give a triangular number (85491 = T413).

The spelling of 2010165390 in words is "two billion, ten million, one hundred sixty-five thousand, three hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 307 614 921 1535 1842 2763 3070 4605 5526 8289 9210 13815 16578 24251 27630 41445 48502 72753 82890 121255 145506 218259 242510 363765 436518 654777 727530 1091295 1309554 2182590 3273885 6547770 7445057 14890114 22335171 37225285 44670342 67005513 74450570 111675855 134011026 201016539 223351710 335027565 402033078 670055130 1005082695 2010165390