Search a number
-
+
2042172 = 223511191
BaseRepresentation
bin111110010100100111100
310211202100000
413302210330
51010322142
6111434300
723233566
oct7624474
93752300
102042172
111175350
12825990
135666b2
143b2336
152a514c
hex1f293c

2042172 has 72 divisors (see below), whose sum is σ = 5870592. Its totient is φ = 615600.

The previous prime is 2042171. The next prime is 2042179. The reversal of 2042172 is 2712402.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2042171) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10597 + ... + 10787.

It is an arithmetic number, because the mean of its divisors is an integer number (81536).

22042172 is an apocalyptic number.

2042172 is a gapful number since it is divisible by the number (22) 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 2042172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2935296).

2042172 is an abundant number, since it is smaller than the sum of its proper divisors (3828420).

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

2042172 is a wasteful number, since it uses less digits than its factorization.

2042172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 2042172 is about 1429.0458355140. The cubic root of 2042172 is about 126.8715091212.

Adding to 2042172 its reverse (2712402), we get a palindrome (4754574).

The spelling of 2042172 in words is "two million, forty-two thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 191 198 243 297 324 382 396 486 573 594 764 891 972 1146 1188 1719 1782 2101 2292 2673 3438 3564 4202 5157 5346 6303 6876 8404 10314 10692 12606 15471 18909 20628 25212 30942 37818 46413 56727 61884 75636 92826 113454 170181 185652 226908 340362 510543 680724 1021086 2042172