Search a number
-
+
2124276 = 223711319
BaseRepresentation
bin1000000110100111110100
310222220221220
420012213310
51020434101
6113310340
724025140
oct10064764
93886856
102124276
111221000
128653b0
13594b8b
143d4220
152be636
hex2069f4

2124276 has 96 divisors (see below), whose sum is σ = 6558720. Its totient is φ = 522720.

The previous prime is 2124253. The next prime is 2124277. The reversal of 2124276 is 6724212.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (1344) is a multiple of the sum of its prime divisors (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2124277) 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, 111795 + ... + 111813.

It is an arithmetic number, because the mean of its divisors is an integer number (68320).

22124276 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2124276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3279360).

2124276 is an abundant number, since it is smaller than the sum of its proper divisors (4434444).

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

2124276 is a wasteful number, since it uses less digits than its factorization.

2124276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 42 counting only the distinct ones).

The product of its digits is 1344, while the sum is 24.

The square root of 2124276 is about 1457.4896226046. The cubic root of 2124276 is about 128.5494770283.

Adding to 2124276 its reverse (6724212), we get a palindrome (8848488).

It can be divided in two parts, 21 and 24276, that multiplied together give a square (509796 = 7142).

The spelling of 2124276 in words is "two million, one hundred twenty-four thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 7 11 12 14 19 21 22 28 33 38 42 44 57 66 76 77 84 114 121 132 133 154 209 228 231 242 266 308 363 399 418 462 484 532 627 726 798 836 847 924 1254 1331 1452 1463 1596 1694 2299 2508 2541 2662 2926 3388 3993 4389 4598 5082 5324 5852 6897 7986 8778 9196 9317 10164 13794 15972 16093 17556 18634 25289 27588 27951 32186 37268 48279 50578 55902 64372 75867 96558 101156 111804 151734 177023 193116 303468 354046 531069 708092 1062138 2124276