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2142384582 = 2313377310169
BaseRepresentation
bin111111110110010…
…0011000111000110
312112022021102011010
41333230203013012
513341422301312
6552330423050
7104042653122
oct17754430706
95468242133
102142384582
119aa358278
124b9591a86
13281b0abb0
14164760582
15c813a93c
hex7fb231c6

2142384582 has 64 divisors (see below), whose sum is σ = 4804470720. Its totient is φ = 632530944.

The previous prime is 2142384553. The next prime is 2142384613. The reversal of 2142384582 is 2854832412.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2142384582.

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, 205594 + ... + 215762.

It is an arithmetic number, because the mean of its divisors is an integer number (75069855).

Almost surely, 22142384582 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2142384582, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2402235360).

2142384582 is an abundant number, since it is smaller than the sum of its proper divisors (2662086138).

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

2142384582 is a wasteful number, since it uses less digits than its factorization.

2142384582 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10297.

The product of its digits is 122880, while the sum is 39.

The square root of 2142384582 is about 46285.9004665568. The cubic root of 2142384582 is about 1289.1372116659.

The spelling of 2142384582 in words is "two billion, one hundred forty-two million, three hundred eighty-four thousand, five hundred eighty-two".

Divisors: 1 2 3 6 13 26 37 39 73 74 78 111 146 219 222 438 481 949 962 1443 1898 2701 2847 2886 5402 5694 8103 10169 16206 20338 30507 35113 61014 70226 105339 132197 210678 264394 376253 396591 742337 752506 793182 1128759 1484674 2227011 2257518 4454022 4891289 9650381 9782578 14673867 19300762 27466469 28951143 29347734 54932938 57902286 82399407 164798814 357064097 714128194 1071192291 2142384582