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2142705392 = 24192231272
BaseRepresentation
bin111111110110111…
…0001011011110000
312112022212201012222
41333231301123300
513342013033032
6552341340212
7104045460332
oct17755613360
95468781188
102142705392
119aa557303
124b9707668
13281bc0c19
14164805452
15c81a0a12
hex7fb716f0

2142705392 has 90 divisors (see below), whose sum is σ = 4608274248. Its totient is φ = 963192384.

The previous prime is 2142705353. The next prime is 2142705401. The reversal of 2142705392 is 2935072412.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 16871633 + ... + 16871759.

Almost surely, 22142705392 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2142705392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2304137124).

2142705392 is an abundant number, since it is smaller than the sum of its proper divisors (2465568856).

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

2142705392 is a wasteful number, since it uses less digits than its factorization.

2142705392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The square root of 2142705392 is about 46289.3658630144. The cubic root of 2142705392 is about 1289.2015554616.

The spelling of 2142705392 in words is "two billion, one hundred forty-two million, seven hundred five thousand, three hundred ninety-two".

Divisors: 1 2 4 8 16 19 23 38 46 76 92 127 152 184 254 304 361 368 437 508 722 874 1016 1444 1748 2032 2413 2888 2921 3496 4826 5776 5842 6992 8303 9652 11684 16129 16606 19304 23368 32258 33212 38608 45847 46736 55499 64516 66424 91694 110998 129032 132848 183388 221996 258064 306451 366776 370967 443992 612902 733552 741934 887984 1054481 1225804 1483868 2108962 2451608 2967736 4217924 4903216 5822569 5935472 7048373 8435848 11645138 14096746 16871696 23290276 28193492 46580552 56386984 93161104 112773968 133919087 267838174 535676348 1071352696 2142705392