Search a number
-
+
423104100 = 223525212707
BaseRepresentation
bin11001001110000…
…000111001100100
31002111010220201020
4121032000321210
51331303312400
6105552331140
713325216436
oct3116007144
91074126636
10423104100
111a7916411
12b9843ab0
1369870873
144029a656
15272292a0
hex19380e64

423104100 has 72 divisors (see below), whose sum is σ = 1226983968. Its totient is φ = 112569600.

The previous prime is 423104083. The next prime is 423104107. The reversal of 423104100 is 1401324.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 423104100.

It is not an unprimeable number, because it can be changed into a prime (423104107) 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, 154947 + ... + 157653.

It is an arithmetic number, because the mean of its divisors is an integer number (17041444).

Almost surely, 2423104100 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 423104100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613491984).

423104100 is an abundant number, since it is smaller than the sum of its proper divisors (803879868).

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

423104100 is a wasteful number, since it uses less digits than its factorization.

423104100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3245 (or 3238 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 423104100 is about 20569.4944031204. The cubic root of 423104100 is about 750.7276493625.

Adding to 423104100 its reverse (1401324), we get a palindrome (424505424).

The spelling of 423104100 in words is "four hundred twenty-three million, one hundred four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 521 1042 1563 2084 2605 2707 3126 5210 5414 6252 7815 8121 10420 10828 13025 13535 15630 16242 26050 27070 31260 32484 39075 40605 52100 54140 67675 78150 81210 135350 156300 162420 203025 270700 406050 812100 1410347 2820694 4231041 5641388 7051735 8462082 14103470 16924164 21155205 28206940 35258675 42310410 70517350 84620820 105776025 141034700 211552050 423104100