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10328256 = 263343139
BaseRepresentation
bin100111011001…
…100011000000
3201102201201000
4213121203000
510121001011
61005212000
7153534351
oct47314300
921381630
1010328256
115914854
123561000
1321a80c3
14152bd28
15d90356
hex9d98c0

10328256 has 112 divisors (see below), whose sum is σ = 31292800. Its totient is φ = 3338496.

The previous prime is 10328243. The next prime is 10328257. The reversal of 10328256 is 65282301.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10328257) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74235 + ... + 74373.

It is an arithmetic number, because the mean of its divisors is an integer number (279400).

Almost surely, 210328256 is an apocalyptic number.

10328256 is a gapful number since it is divisible by the number (16) 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 10328256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15646400).

10328256 is an abundant number, since it is smaller than the sum of its proper divisors (20964544).

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

10328256 is a wasteful number, since it uses less digits than its factorization.

10328256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 10328256 is about 3213.7604142188. The cubic root of 10328256 is about 217.7754892011.

The spelling of 10328256 in words is "ten million, three hundred twenty-eight thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 43 48 54 64 72 86 96 108 129 139 144 172 192 216 258 278 288 344 387 417 432 516 556 576 688 774 834 864 1032 1112 1161 1251 1376 1548 1668 1728 2064 2224 2322 2502 2752 3096 3336 3753 4128 4448 4644 5004 5977 6192 6672 7506 8256 8896 9288 10008 11954 12384 13344 15012 17931 18576 20016 23908 24768 26688 30024 35862 37152 40032 47816 53793 60048 71724 74304 80064 95632 107586 120096 143448 161379 191264 215172 240192 286896 322758 382528 430344 573792 645516 860688 1147584 1291032 1721376 2582064 3442752 5164128 10328256