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2010088938 = 2311132419721
BaseRepresentation
bin111011111001111…
…1000010111101010
312012002100002122110
41313303320113222
513104040321223
6531243103150
7100545321414
oct16763702752
95162302573
102010088938
11941708630
12481211ab6
1326059a550
14150d639b4
15bb706d93
hex77cf85ea

2010088938 has 64 divisors (see below), whose sum is σ = 4743091584. Its totient is φ = 559872000.

The previous prime is 2010088931. The next prime is 2010088939. The reversal of 2010088938 is 8398800102.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 2010088896 and 2010088905.

It is not an unprimeable number, because it can be changed into a prime (2010088931) 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, 201918 + ... + 211638.

It is an arithmetic number, because the mean of its divisors is an integer number (74110806).

Almost surely, 22010088938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2010088938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2371545792).

2010088938 is an abundant number, since it is smaller than the sum of its proper divisors (2733002646).

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

2010088938 is a wasteful number, since it uses less digits than its factorization.

2010088938 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9991.

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 2010088938 is about 44834.0154124076. The cubic root of 2010088938 is about 1262.0360417607.

The spelling of 2010088938 in words is "two billion, ten million, eighty-eight thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 143 241 286 429 482 723 858 1446 2651 3133 5302 6266 7953 9399 9721 15906 18798 19442 29163 34463 58326 68926 103389 106931 126373 206778 213862 252746 320793 379119 641586 758238 1390103 2342761 2780206 4170309 4685522 7028283 8340618 14056566 25770371 30455893 51540742 60911786 77311113 91367679 154622226 182735358 335014823 670029646 1005044469 2010088938