Search a number
-
+
10496142 = 23623313
BaseRepresentation
bin101000000010…
…100010001110
3201202021000000
4220002202032
510141334032
61012545130
7155133666
oct50024216
921667000
1010496142
115a199a8
1236221a6
132236647
1415731a6
15dc4e7c
hexa0288e

10496142 has 56 divisors (see below), whose sum is σ = 24710544. Its totient is φ = 3335904.

The previous prime is 10496131. The next prime is 10496149. The reversal of 10496142 is 24169401.

10496142 is a `hidden beast` number, since 1 + 0 + 49 + 614 + 2 = 666.

It is a super-2 number, since 2×104961422 = 220337993768328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10496149) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 33378 + ... + 33690.

Almost surely, 210496142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10496142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12355272).

10496142 is an abundant number, since it is smaller than the sum of its proper divisors (14214402).

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

10496142 is an equidigital number, since it uses as much as digits as its factorization.

10496142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 10496142 is about 3239.7749921870. The cubic root of 10496142 is about 218.9491343680.

The spelling of 10496142 in words is "ten million, four hundred ninety-six thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 81 138 162 207 243 313 414 486 621 626 729 939 1242 1458 1863 1878 2817 3726 5589 5634 7199 8451 11178 14398 16767 16902 21597 25353 33534 43194 50706 64791 76059 129582 152118 194373 228177 388746 456354 583119 1166238 1749357 3498714 5248071 10496142