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421021600 = 25524312239
BaseRepresentation
bin11001000110000…
…100011110100000
31002100020010001121
4121012010132200
51330240142400
6105435542024
713301424136
oct3106043640
91070203047
10421021600
111a672383a
12b8bba914
13692c1a0c
143dcb7756
1526e6721a
hex191847a0

421021600 has 72 divisors (see below), whose sum is σ = 1051807680. Its totient is φ = 164478720.

The previous prime is 421021597. The next prime is 421021603. The reversal of 421021600 is 6120124.

It is an interprime number because it is at equal distance from previous prime (421021597) and next prime (421021603).

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

It is not an unprimeable number, because it can be changed into a prime (421021603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28281 + ... + 40519.

It is an arithmetic number, because the mean of its divisors is an integer number (14608440).

Almost surely, 2421021600 is an apocalyptic number.

421021600 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 421021600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525903840).

421021600 is an abundant number, since it is smaller than the sum of its proper divisors (630786080).

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

421021600 is a wasteful number, since it uses less digits than its factorization.

421021600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12302 (or 12289 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 421021600 is about 20518.8108817251. The cubic root of 421021600 is about 749.4939400961.

Adding to 421021600 its reverse (6120124), we get a palindrome (427141724).

The spelling of 421021600 in words is "four hundred twenty-one million, twenty-one thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 43 50 80 86 100 160 172 200 215 344 400 430 688 800 860 1075 1376 1720 2150 3440 4300 6880 8600 12239 17200 24478 34400 48956 61195 97912 122390 195824 244780 305975 391648 489560 526277 611950 979120 1052554 1223900 1958240 2105108 2447800 2631385 4210216 4895600 5262770 8420432 9791200 10525540 13156925 16840864 21051080 26313850 42102160 52627700 84204320 105255400 210510800 421021600