Search a number
-
+
24101028 = 22327591621
BaseRepresentation
bin101101111110…
…0000010100100
31200100110101200
41123330002210
522132213103
62220322500
7411566250
oct133740244
950313350
1024101028
1112671506
1280a3430
134cbac83
1432b5260
1521b10a3
hex16fc0a4

24101028 has 72 divisors (see below), whose sum is σ = 70848960. Its totient is φ = 6765120.

The previous prime is 24101003. The next prime is 24101029. The reversal of 24101028 is 82010142.

It is a super-3 number, since 3×241010283 (a number of 23 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 24101028.

It is not an unprimeable number, because it can be changed into a prime (24101029) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14058 + ... + 15678.

Almost surely, 224101028 is an apocalyptic number.

24101028 is a gapful number since it is divisible by the number (28) 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 24101028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35424480).

24101028 is an abundant number, since it is smaller than the sum of its proper divisors (46747932).

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

24101028 is a wasteful number, since it uses less digits than its factorization.

24101028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1697 (or 1692 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 24101028 is about 4909.2797842453. The cubic root of 24101028 is about 288.8540907680.

It can be divided in two parts, 2410102 and 8, that added together give a triangular number (2410110 = T2195).

The spelling of 24101028 in words is "twenty-four million, one hundred one thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 59 63 84 118 126 177 236 252 354 413 531 708 826 1062 1239 1621 1652 2124 2478 3242 3717 4863 4956 6484 7434 9726 11347 14589 14868 19452 22694 29178 34041 45388 58356 68082 95639 102123 136164 191278 204246 286917 382556 408492 573834 669473 860751 1147668 1338946 1721502 2008419 2677892 3443004 4016838 6025257 8033676 12050514 24101028