[go: up one dir, main page]

Search a number
-
+
2041020 = 22325172329
BaseRepresentation
bin111110010010010111100
310211200202100
413302102330
51010303040
6111425100
723230332
oct7622274
93750670
102041020
1111744a3
12825190
13566007
143b1b52
152a4b30
hex1f24bc

2041020 has 144 divisors (see below), whose sum is σ = 7076160. Its totient is φ = 473088.

The previous prime is 2041001. The next prime is 2041027. The reversal of 2041020 is 201402.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2040993 and 2041011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2041027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70366 + ... + 70394.

It is an arithmetic number, because the mean of its divisors is an integer number (49140).

22041020 is an apocalyptic number.

2041020 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 2041020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3538080).

2041020 is an abundant number, since it is smaller than the sum of its proper divisors (5035140).

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

2041020 is a wasteful number, since it uses less digits than its factorization.

2041020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 2041020 is about 1428.6427125072. The cubic root of 2041020 is about 126.8476483381.

Adding to 2041020 its reverse (201402), we get a palindrome (2242422).

The spelling of 2041020 in words is "two million, forty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 23 29 30 34 36 45 46 51 58 60 68 69 85 87 90 92 102 115 116 138 145 153 170 174 180 204 207 230 255 261 276 290 306 340 345 348 391 414 435 460 493 510 522 580 612 667 690 765 782 828 870 986 1020 1035 1044 1173 1305 1334 1380 1479 1530 1564 1740 1955 1972 2001 2070 2346 2465 2610 2668 2958 3060 3335 3519 3910 4002 4140 4437 4692 4930 5220 5865 5916 6003 6670 7038 7395 7820 8004 8874 9860 10005 11339 11730 12006 13340 14076 14790 17595 17748 20010 22185 22678 23460 24012 29580 30015 34017 35190 40020 44370 45356 56695 60030 68034 70380 88740 102051 113390 120060 136068 170085 204102 226780 340170 408204 510255 680340 1020510 2041020