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10142514 = 2323797157
BaseRepresentation
bin100110101100…
…001100110010
3201002021220200
4212230030302
510044030024
61001220030
7152132004
oct46541462
921067820
1010142514
1157a8248
123491616
1321416b5
1414c0374
15d552c9
hex9ac332

10142514 has 48 divisors (see below), whose sum is σ = 22947288. Its totient is φ = 3234816.

The previous prime is 10142507. The next prime is 10142537. The reversal of 10142514 is 41524101.

10142514 is a `hidden beast` number, since 10 + 142 + 514 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9272025 + 870489 = 3045^2 + 933^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64524 + ... + 64680.

Almost surely, 210142514 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10142514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11473644).

10142514 is an abundant number, since it is smaller than the sum of its proper divisors (12804774).

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

10142514 is a wasteful number, since it uses less digits than its factorization.

10142514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 10142514 is about 3184.7313858472. The cubic root of 10142514 is about 216.4621022547.

Adding to 10142514 its reverse (41524101), we get a palindrome (51666615).

The spelling of 10142514 in words is "ten million, one hundred forty-two thousand, five hundred fourteen".

Divisors: 1 2 3 6 9 18 37 74 97 111 157 194 222 291 314 333 471 582 666 873 942 1413 1746 2826 3589 5809 7178 10767 11618 15229 17427 21534 30458 32301 34854 45687 52281 64602 91374 104562 137061 274122 563473 1126946 1690419 3380838 5071257 10142514