Search a number
-
+
420043410 = 232516727947
BaseRepresentation
bin11001000010010…
…101101010010010
31002021101102020100
4121002111222102
51330012342120
6105402553230
713260211233
oct3102255222
91067342210
10420043410
111a6115916
12b8808816
136903b6c7
143db0108a
1526d22490
hex19095a92

420043410 has 48 divisors (see below), whose sum is σ = 1098691776. Its totient is φ = 111336864.

The previous prime is 420043343. The next prime is 420043417. The reversal of 420043410 is 14340024.

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

It is not an unprimeable number, because it can be changed into a prime (420043417) 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, 1057 + ... + 29003.

It is an arithmetic number, because the mean of its divisors is an integer number (22889412).

Almost surely, 2420043410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420043410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549345888).

420043410 is an abundant number, since it is smaller than the sum of its proper divisors (678648366).

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

420043410 is a wasteful number, since it uses less digits than its factorization.

420043410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28127 (or 28124 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 420043410 is about 20494.9606001085. The cubic root of 420043410 is about 748.9130387814.

Adding to 420043410 its reverse (14340024), we get a palindrome (434383434).

The spelling of 420043410 in words is "four hundred twenty million, forty-three thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 167 334 501 835 1002 1503 1670 2505 3006 5010 7515 15030 27947 55894 83841 139735 167682 251523 279470 419205 503046 838410 1257615 2515230 4667149 9334298 14001447 23335745 28002894 42004341 46671490 70007235 84008682 140014470 210021705 420043410