[go: up one dir, main page]

Search a number
-
+
10296024 = 2331967337
BaseRepresentation
bin100111010001…
…101011011000
3201101002111020
4213101223120
510113433044
61004402440
7153341364
oct47215330
921332436
1010296024
1158a2612
123546420
13219652b
1415202a4
15d85a19
hex9d1ad8

10296024 has 64 divisors (see below), whose sum is σ = 27580800. Its totient is φ = 3193344.

The previous prime is 10296023. The next prime is 10296029. The reversal of 10296024 is 42069201.

10296024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×102960242 = 212016220417152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 10295985 and 10296003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10296023) 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, 30384 + ... + 30720.

It is an arithmetic number, because the mean of its divisors is an integer number (430950).

Almost surely, 210296024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10296024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13790400).

10296024 is an abundant number, since it is smaller than the sum of its proper divisors (17284776).

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

10296024 is a wasteful number, since it uses less digits than its factorization.

10296024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 10296024 is about 3208.7418094948. The cubic root of 10296024 is about 217.5487115101.

The spelling of 10296024 in words is "ten million, two hundred ninety-six thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 67 76 114 134 152 201 228 268 337 402 456 536 674 804 1011 1273 1348 1608 2022 2546 2696 3819 4044 5092 6403 7638 8088 10184 12806 15276 19209 22579 25612 30552 38418 45158 51224 67737 76836 90316 135474 153672 180632 270948 429001 541896 858002 1287003 1716004 2574006 3432008 5148012 10296024