[go: up one dir, main page]

Search a number
-
+
2420011000 = 2353111911579
BaseRepresentation
bin1001000000111110…
…0110111111111000
320020122200022000001
42100033212333320
514424010323000
61040045122344
7113653516441
oct22017467770
96218608001
102420011000
1110320400a0
125765593b4
132c74a4094
1418d58c2c8
15e26ca46a
hex903e6ff8

2420011000 has 128 divisors (see below), whose sum is σ = 6503328000. Its totient is φ = 833616000.

The previous prime is 2420010973. The next prime is 2420011007. The reversal of 2420011000 is 1100242.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2420011007) 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, 203211 + ... + 214789.

It is an arithmetic number, because the mean of its divisors is an integer number (50807250).

Almost surely, 22420011000 is an apocalyptic number.

2420011000 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 2420011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3251664000).

2420011000 is an abundant number, since it is smaller than the sum of its proper divisors (4083317000).

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

2420011000 is a wasteful number, since it uses less digits than its factorization.

2420011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11630 (or 11616 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 2420011000 is about 49193.6073082672. The cubic root of 2420011000 is about 1342.5767231183.

Adding to 2420011000 its reverse (1100242), we get a palindrome (2421111242).

The spelling of 2420011000 in words is "two billion, four hundred twenty million, eleven thousand".

Divisors: 1 2 4 5 8 10 11 19 20 22 25 38 40 44 50 55 76 88 95 100 110 125 152 190 200 209 220 250 275 380 418 440 475 500 550 760 836 950 1000 1045 1100 1375 1672 1900 2090 2200 2375 2750 3800 4180 4750 5225 5500 8360 9500 10450 11000 11579 19000 20900 23158 26125 41800 46316 52250 57895 92632 104500 115790 127369 209000 220001 231580 254738 289475 440002 463160 509476 578950 636845 880004 1018952 1100005 1157900 1273690 1447375 1760008 2200010 2315800 2420011 2547380 2894750 3184225 4400020 4840022 5094760 5500025 5789500 6368450 8800040 9680044 11000050 11579000 12100055 12736900 15921125 19360088 22000100 24200110 25473800 27500125 31842250 44000200 48400220 55000250 60500275 63684500 96800440 110000500 121000550 127369000 220001000 242001100 302501375 484002200 605002750 1210005500 2420011000