Search a number
-
+
2123830520 = 235729711171
BaseRepresentation
bin111111010010111…
…0001010011111000
312111000100202202122
41332211301103320
513322200034040
6550425020412
7103426155500
oct17645612370
95430322678
102123830520
1199a935339
124b3324708
1327b012966
141620d0a00
15c66c31b5
hex7e9714f8

2123830520 has 96 divisors (see below), whose sum is σ = 5616611280. Its totient is φ = 720599040.

The previous prime is 2123830487. The next prime is 2123830543. The reversal of 2123830520 is 250383212.

It is a self number, because there is not a number n which added to its sum of digits gives 2123830520.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 184535 + ... + 195705.

Almost surely, 22123830520 is an apocalyptic number.

2123830520 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 2123830520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2808305640).

2123830520 is an abundant number, since it is smaller than the sum of its proper divisors (3492780760).

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

2123830520 is a wasteful number, since it uses less digits than its factorization.

2123830520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11293 (or 11282 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 2123830520 is about 46085.0357491453. The cubic root of 2123830520 is about 1285.4049040191.

The spelling of 2123830520 in words is "two billion, one hundred twenty-three million, eight hundred thirty thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 97 98 140 194 196 245 280 388 392 485 490 679 776 970 980 1358 1940 1960 2716 3395 3880 4753 5432 6790 9506 11171 13580 19012 22342 23765 27160 38024 44684 47530 55855 78197 89368 95060 111710 156394 190120 223420 312788 390985 446840 547379 625576 781970 1083587 1094758 1563940 2167174 2189516 2736895 3127880 4334348 4379032 5417935 5473790 7585109 8668696 10835870 10947580 15170218 21671740 21895160 30340436 37925545 43343480 53095763 60680872 75851090 106191526 151702180 212383052 265478815 303404360 424766104 530957630 1061915260 2123830520