Search a number
-
+
10238680 = 2352331359
BaseRepresentation
bin100111000011…
…101011011000
3201021011211101
4213003223120
510110114210
61003241144
7153012244
oct47035330
921234741
1010238680
115863521
1235191b4
1321763ba
141507424
15d73a3a
hex9c3ad8

10238680 has 64 divisors (see below), whose sum is σ = 24883200. Its totient is φ = 3780480.

The previous prime is 10238647. The next prime is 10238689. The reversal of 10238680 is 8683201.

10238680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10238689) 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, 28341 + ... + 28699.

It is an arithmetic number, because the mean of its divisors is an integer number (388800).

Almost surely, 210238680 is an apocalyptic number.

10238680 is a gapful number since it is divisible by the number (10) 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 10238680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12441600).

10238680 is an abundant number, since it is smaller than the sum of its proper divisors (14644520).

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

10238680 is a wasteful number, since it uses less digits than its factorization.

10238680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 10238680 is about 3199.7937433528. The cubic root of 10238680 is about 217.1440781161.

The spelling of 10238680 in words is "ten million, two hundred thirty-eight thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 23 31 40 46 62 92 115 124 155 184 230 248 310 359 460 620 713 718 920 1240 1426 1436 1795 2852 2872 3565 3590 5704 7130 7180 8257 11129 14260 14360 16514 22258 28520 33028 41285 44516 55645 66056 82570 89032 111290 165140 222580 255967 330280 445160 511934 1023868 1279835 2047736 2559670 5119340 10238680