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4068576 = 253317277
BaseRepresentation
bin1111100001010011100000
321122201001000
433201103200
52020143301
6223112000
746403511
oct17412340
97581030
104068576
112329866
121442600
13ac5b55
1477ca08
15555786
hex3e14e0

4068576 has 96 divisors (see below), whose sum is σ = 12610080. Its totient is φ = 1271808.

The previous prime is 4068569. The next prime is 4068587. The reversal of 4068576 is 6758604.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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 4068576.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14550 + ... + 14826.

It is an arithmetic number, because the mean of its divisors is an integer number (131355).

Almost surely, 24068576 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 4068576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6305040).

4068576 is an abundant number, since it is smaller than the sum of its proper divisors (8541504).

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

4068576 is a wasteful number, since it uses less digits than its factorization.

4068576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 4068576 is about 2017.0711440105. The cubic root of 4068576 is about 159.6421167609.

The spelling of 4068576 in words is "four million, sixty-eight thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 68 72 96 102 108 136 144 153 204 216 272 277 288 306 408 432 459 544 554 612 816 831 864 918 1108 1224 1632 1662 1836 2216 2448 2493 3324 3672 4432 4709 4896 4986 6648 7344 7479 8864 9418 9972 13296 14127 14688 14958 18836 19944 26592 28254 29916 37672 39888 42381 56508 59832 75344 79776 84762 113016 119664 127143 150688 169524 226032 239328 254286 339048 452064 508572 678096 1017144 1356192 2034288 4068576