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4260864 = 21031973
BaseRepresentation
bin10000010000010000000000
322000110210210
4100100100000
52042321424
6231154120
751134226
oct20202000
98013723
104260864
112450283
121515940
13b6252a
147ccb16
15592729
hex410400

4260864 has 88 divisors (see below), whose sum is σ = 12118240. Its totient is φ = 1327104.

The previous prime is 4260859. The next prime is 4260877. The reversal of 4260864 is 4680624.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58332 + ... + 58404.

Almost surely, 24260864 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 4260864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6059120).

4260864 is an abundant number, since it is smaller than the sum of its proper divisors (7857376).

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

4260864 is a wasteful number, since it uses less digits than its factorization.

4260864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 4260864 is about 2064.1860381274. The cubic root of 4260864 is about 162.1184927937.

It can be divided in two parts, 42 and 60864, that added together give a palindrome (60906).

The spelling of 4260864 in words is "four million, two hundred sixty thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 73 76 96 114 128 146 152 192 219 228 256 292 304 384 438 456 512 584 608 768 876 912 1024 1168 1216 1387 1536 1752 1824 2336 2432 2774 3072 3504 3648 4161 4672 4864 5548 7008 7296 8322 9344 9728 11096 14016 14592 16644 18688 19456 22192 28032 29184 33288 37376 44384 56064 58368 66576 74752 88768 112128 133152 177536 224256 266304 355072 532608 710144 1065216 1420288 2130432 4260864