Search a number
-
+
10379856 = 2434347107
BaseRepresentation
bin100111100110…
…001001010000
3201112100111010
4213212021100
510124123411
61010250520
7154140654
oct47461120
921470433
1010379856
11594a5a3
123586a40
1321c5736
141542a64
15da07a6
hex9e6250

10379856 has 80 divisors (see below), whose sum is σ = 28283904. Its totient is φ = 3276672.

The previous prime is 10379839. The next prime is 10379857. The reversal of 10379856 is 65897301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10379857) 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, 96955 + ... + 97061.

Almost surely, 210379856 is an apocalyptic number.

10379856 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 10379856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14141952).

10379856 is an abundant number, since it is smaller than the sum of its proper divisors (17904048).

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

10379856 is a wasteful number, since it uses less digits than its factorization.

10379856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 10379856 is about 3221.7783908891. The cubic root of 10379856 is about 218.1375559202.

The spelling of 10379856 in words is "ten million, three hundred seventy-nine thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 43 47 48 86 94 107 129 141 172 188 214 258 282 321 344 376 428 516 564 642 688 752 856 1032 1128 1284 1712 2021 2064 2256 2568 4042 4601 5029 5136 6063 8084 9202 10058 12126 13803 15087 16168 18404 20116 24252 27606 30174 32336 36808 40232 48504 55212 60348 73616 80464 97008 110424 120696 216247 220848 241392 432494 648741 864988 1297482 1729976 2594964 3459952 5189928 10379856