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421068096 = 2632853857
BaseRepresentation
bin11001000110001…
…111110101000000
31002100022110211200
4121012033311000
51330243134341
6105440541200
713302006531
oct3106176500
91070273750
10421068096
111a6755769
12b9021800
1369309c27
143dcca688
1526e75db6
hex1918fd40

421068096 has 84 divisors (see below), whose sum is σ = 1209740532. Its totient is φ = 140027904.

The previous prime is 421068077. The next prime is 421068097. The reversal of 421068096 is 690860124.

It can be written as a sum of positive squares in 2 ways, for example, as 203918400 + 217149696 = 14280^2 + 14736^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 421068096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421068097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 490900 + ... + 491756.

It is an arithmetic number, because the mean of its divisors is an integer number (14401673).

Almost surely, 2421068096 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 421068096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604870266).

421068096 is an abundant number, since it is smaller than the sum of its proper divisors (788672436).

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

421068096 is a wasteful number, since it uses less digits than its factorization.

421068096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1728 (or 1715 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 421068096 is about 20519.9438595723. The cubic root of 421068096 is about 749.5215294862.

It can be divided in two parts, 4 and 21068096, that added together give a square (21068100 = 45902).

The spelling of 421068096 in words is "four hundred twenty-one million, sixty-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 853 857 1706 1714 2559 2571 3412 3428 5118 5142 6824 6856 7677 7713 10236 10284 13648 13712 15354 15426 20472 20568 27296 27424 30708 30852 40944 41136 54592 54848 61416 61704 81888 82272 122832 123408 163776 164544 245664 246816 491328 493632 731021 1462042 2193063 2924084 4386126 5848168 6579189 8772252 11696336 13158378 17544504 23392672 26316756 35089008 46785344 52633512 70178016 105267024 140356032 210534048 421068096