Search a number
-
+
421104640 = 2105117477
BaseRepresentation
bin11001000110011…
…000110000000000
31002100101022222011
4121012120300000
51330300322030
6105441422304
713302221215
oct3106306000
91070338864
10421104640
111a6780170
12b903a994
1369320758
143dcd9b0c
1526e81b2a
hex19198c00

421104640 has 88 divisors (see below), whose sum is σ = 1102137552. Its totient is φ = 153108480.

The previous prime is 421104623. The next prime is 421104647. The reversal of 421104640 is 46401124.

It is a tau number, because it is divible by the number of its divisors (88).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (421104647) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52582 + ... + 60058.

Almost surely, 2421104640 is an apocalyptic number.

421104640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 421104640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551068776).

421104640 is an abundant number, since it is smaller than the sum of its proper divisors (681032912).

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

421104640 is a wasteful number, since it uses less digits than its factorization.

421104640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7513 (or 7495 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 421104640 is about 20520.8342910321. The cubic root of 421104640 is about 749.5432122201.

Adding to 421104640 its reverse (46401124), we get a palindrome (467505764).

The spelling of 421104640 in words is "four hundred twenty-one million, one hundred four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 512 640 704 880 1024 1280 1408 1760 2560 2816 3520 5120 5632 7040 7477 11264 14080 14954 28160 29908 37385 56320 59816 74770 82247 119632 149540 164494 239264 299080 328988 411235 478528 598160 657976 822470 957056 1196320 1315952 1644940 1914112 2392640 2631904 3289880 3828224 4785280 5263808 6579760 7656448 9570560 10527616 13159520 19141120 21055232 26319040 38282240 42110464 52638080 84220928 105276160 210552320 421104640