Search a number
-
+
10023408 = 2432471481
BaseRepresentation
bin100110001111…
…000111110000
3200212020112100
4212033013300
510031222113
6554500400
7151124523
oct46170760
920766470
1010023408
11572680a
123434700
1320cc415
14148cbba
15d2ed73
hex98f1f0

10023408 has 60 divisors (see below), whose sum is σ = 28667808. Its totient is φ = 3267840.

The previous prime is 10023407. The next prime is 10023443. The reversal of 10023408 is 80432001.

It is a happy number.

10023408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10023407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6028 + ... + 7508.

Almost surely, 210023408 is an apocalyptic number.

10023408 is a gapful number since it is divisible by the number (18) 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 10023408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14333904).

10023408 is an abundant number, since it is smaller than the sum of its proper divisors (18644400).

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

10023408 is a wasteful number, since it uses less digits than its factorization.

10023408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1542 (or 1533 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 10023408 is about 3165.9766265720. The cubic root of 10023408 is about 215.6114413655.

Adding to 10023408 its reverse (80432001), we get a palindrome (90455409).

The spelling of 10023408 in words is "ten million, twenty-three thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 47 48 72 94 141 144 188 282 376 423 564 752 846 1128 1481 1692 2256 2962 3384 4443 5924 6768 8886 11848 13329 17772 23696 26658 35544 53316 69607 71088 106632 139214 208821 213264 278428 417642 556856 626463 835284 1113712 1252926 1670568 2505852 3341136 5011704 10023408