Search a number
-
+
2126173820 = 225234879491
BaseRepresentation
bin111111010111010…
…1101011001111100
312111011202211011112
41332232231121330
513323300030240
6550551141152
7103455115331
oct17656553174
95434684145
102126173820
119a1195951
124b40747b8
1327b653424
14162540988
15c69d7665
hex7ebad67c

2126173820 has 48 divisors (see below), whose sum is σ = 4669152768. Its totient is φ = 811736640.

The previous prime is 2126173813. The next prime is 2126173823. The reversal of 2126173820 is 283716212.

It is a super-2 number, since 2×21261738202 = 9041230225706784800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2126173823) 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, 219275 + ... + 228765.

It is an arithmetic number, because the mean of its divisors is an integer number (97274016).

Almost surely, 22126173820 is an apocalyptic number.

2126173820 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 2126173820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2334576384).

2126173820 is an abundant number, since it is smaller than the sum of its proper divisors (2542978948).

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

2126173820 is a wasteful number, since it uses less digits than its factorization.

2126173820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10010 (or 10008 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 2126173820 is about 46110.4523942240. The cubic root of 2126173820 is about 1285.8774750300.

The spelling of 2126173820 in words is "two billion, one hundred twenty-six million, one hundred seventy-three thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 460 487 974 1948 2435 4870 9491 9740 11201 18982 22402 37964 44804 47455 56005 94910 112010 189820 218293 224020 436586 873172 1091465 2182930 4365860 4622117 9244234 18488468 23110585 46221170 92442340 106308691 212617382 425234764 531543455 1063086910 2126173820