Search a number
-
+
10542294 = 2327312699
BaseRepresentation
bin101000001101…
…110011010110
3201211121022100
4220031303112
510144323134
61013542530
7155415360
oct50156326
921747270
1010542294
115a50644
123644a46
132251659
141585d30
15dd3999
hexa0dcd6

10542294 has 48 divisors (see below), whose sum is σ = 26956800. Its totient is φ = 2913840.

The previous prime is 10542281. The next prime is 10542307. The reversal of 10542294 is 49224501.

10542294 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10542281) and next prime (10542307).

It is a super-2 number, since 2×105422942 = 222279925564872, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2557 + ... + 5255.

It is an arithmetic number, because the mean of its divisors is an integer number (561600).

Almost surely, 210542294 is an apocalyptic number.

10542294 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10542294, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13478400).

10542294 is an abundant number, since it is smaller than the sum of its proper divisors (16414506).

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

10542294 is a wasteful number, since it uses less digits than its factorization.

10542294 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2745 (or 2742 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 10542294 is about 3246.8898965010. The cubic root of 10542294 is about 219.2695748339.

Adding to 10542294 its reverse (49224501), we get a palindrome (59766795).

The spelling of 10542294 in words is "ten million, five hundred forty-two thousand, two hundred ninety-four".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 62 63 93 126 186 217 279 434 558 651 1302 1953 2699 3906 5398 8097 16194 18893 24291 37786 48582 56679 83669 113358 167338 170037 251007 340074 502014 585683 753021 1171366 1506042 1757049 3514098 5271147 10542294