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2010145520 = 24573794357
BaseRepresentation
bin111011111010000…
…0110001011110000
312012002102222021002
41313310012023300
513104044124040
6531244221132
7100545645365
oct16764061360
95162388232
102010145520
11941747099
1248123a7a8
132605ba226
14150d7a46c
15bb718a15
hex77d062f0

2010145520 has 80 divisors (see below), whose sum is σ = 4798680960. Its totient is φ = 782825472.

The previous prime is 2010145519. The next prime is 2010145523. The reversal of 2010145520 is 255410102.

It is a tau number, because it is divible by the number of its divisors (80).

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 = 2010145492 and 2010145501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2010145523) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 459182 + ... + 463538.

It is an arithmetic number, because the mean of its divisors is an integer number (59983512).

Almost surely, 22010145520 is an apocalyptic number.

2010145520 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 2010145520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2399340480).

2010145520 is an abundant number, since it is smaller than the sum of its proper divisors (2788535440).

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

2010145520 is a wasteful number, since it uses less digits than its factorization.

2010145520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4522 (or 4516 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 2010145520 is about 44834.6464243893. The cubic root of 2010145520 is about 1262.0478833352.

Adding to 2010145520 its reverse (255410102), we get a palindrome (2265555622).

The spelling of 2010145520 in words is "two billion, ten million, one hundred forty-five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 73 79 80 146 158 292 316 365 395 584 632 730 790 1168 1264 1460 1580 2920 3160 4357 5767 5840 6320 8714 11534 17428 21785 23068 28835 34856 43570 46136 57670 69712 87140 92272 115340 174280 230680 318061 344203 348560 461360 636122 688406 1272244 1376812 1590305 1721015 2544488 2753624 3180610 3442030 5088976 5507248 6361220 6884060 12722440 13768120 25126819 25444880 27536240 50253638 100507276 125634095 201014552 251268190 402029104 502536380 1005072760 2010145520