[go: up one dir, main page]

Search a number
-
+
2412270 = 232572547
BaseRepresentation
bin1001001100111011101110
311112120000100
421030323232
51104143040
6123411530
726334600
oct11147356
94476010
102412270
1113a8413
12983ba6
13665ca3
1446b170
15329b30
hex24ceee

2412270 has 72 divisors (see below), whose sum is σ = 7309224. Its totient is φ = 550368.

The previous prime is 2412247. The next prime is 2412271. The reversal of 2412270 is 722142.

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

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2412271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4137 + ... + 4683.

It is an arithmetic number, because the mean of its divisors is an integer number (101517).

22412270 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2412270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3654612).

2412270 is an abundant number, since it is smaller than the sum of its proper divisors (4896954).

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

2412270 is a wasteful number, since it uses less digits than its factorization.

2412270 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 564 counting only the distinct ones).

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

The square root of 2412270 is about 1553.1484153165. The cubic root of 2412270 is about 134.1143673496.

The spelling of 2412270 in words is "two million, four hundred twelve thousand, two hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 147 210 245 294 315 441 490 547 630 735 882 1094 1470 1641 2205 2735 3282 3829 4410 4923 5470 7658 8205 9846 11487 16410 19145 22974 24615 26803 34461 38290 49230 53606 57435 68922 80409 114870 134015 160818 172305 241227 268030 344610 402045 482454 804090 1206135 2412270