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420003232 = 25112414951
BaseRepresentation
bin11001000010001…
…011110110100000
31002021022101010021
4121002023312200
51330010100412
6105402043224
713256653135
oct3102136640
91067271107
10420003232
111a6098710
12b87a9514
136902632c
143dad058c
1526d15607
hex1908bda0

420003232 has 48 divisors (see below), whose sum is σ = 905978304. Its totient is φ = 190080000.

The previous prime is 420003223. The next prime is 420003251. The reversal of 420003232 is 232300024.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82357 + ... + 87307.

It is an arithmetic number, because the mean of its divisors is an integer number (18874548).

Almost surely, 2420003232 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 420003232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452989152).

420003232 is an abundant number, since it is smaller than the sum of its proper divisors (485975072).

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

420003232 is a wasteful number, since it uses less digits than its factorization.

420003232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5213 (or 5205 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 420003232 is about 20493.9803844934. The cubic root of 420003232 is about 748.8891596721.

Adding to 420003232 its reverse (232300024), we get a palindrome (652303256).

The spelling of 420003232 in words is "four hundred twenty million, three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 241 352 482 964 1928 2651 3856 4951 5302 7712 9902 10604 19804 21208 39608 42416 54461 79216 84832 108922 158432 217844 435688 871376 1193191 1742752 2386382 4772764 9545528 13125101 19091056 26250202 38182112 52500404 105000808 210001616 420003232