Search a number
-
+
10014292 = 22171923337
BaseRepresentation
bin100110001100…
…111001010100
3200211210000201
4212030321110
510030424132
6554350244
7151056121
oct46147124
920753021
1010014292
11571a982
12342b384
1320c8222
141489748
15d2c2e7
hex98ce54

10014292 has 48 divisors (see below), whose sum is σ = 20442240. Its totient is φ = 4257792.

The previous prime is 10014283. The next prime is 10014293. The reversal of 10014292 is 29241001.

It is a super-2 number, since 2×100142922 = 200572088522528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10014293) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 29548 + ... + 29884.

It is an arithmetic number, because the mean of its divisors is an integer number (425880).

Almost surely, 210014292 is an apocalyptic number.

10014292 is the 2584-th pentagonal number.

It is an amenable number.

10014292 is an abundant number, since it is smaller than the sum of its proper divisors (10427948).

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

10014292 is a wasteful number, since it uses less digits than its factorization.

10014292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 10014292 is about 3164.5366169473. The cubic root of 10014292 is about 215.5460574142.

Adding to 10014292 its reverse (29241001), we get a palindrome (39255293).

The spelling of 10014292 in words is "ten million, fourteen thousand, two hundred ninety-two".

Divisors: 1 2 4 17 19 23 34 38 46 68 76 92 323 337 391 437 646 674 782 874 1292 1348 1564 1748 5729 6403 7429 7751 11458 12806 14858 15502 22916 25612 29716 31004 108851 131767 147269 217702 263534 294538 435404 527068 589076 2503573 5007146 10014292