Search a number
-
+
10715148 = 22322312941
BaseRepresentation
bin101000111000…
…000000001100
3202011101102100
4220320000030
510220341043
61021355100
7160035333
oct50700014
922141370
1010715148
1160594a4
123708a90
1322b2232
1415ccd1a
15e19cd3
hexa3800c

10715148 has 36 divisors (see below), whose sum is σ = 28265328. Its totient is φ = 3416160.

The previous prime is 10715147. The next prime is 10715161. The reversal of 10715148 is 84151701.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×107151482 = 229628793323808, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (10715141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5643 + ... + 7298.

It is an arithmetic number, because the mean of its divisors is an integer number (785148).

Almost surely, 210715148 is an apocalyptic number.

10715148 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10715148 is an abundant number, since it is smaller than the sum of its proper divisors (17550180).

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

10715148 is a wasteful number, since it uses less digits than its factorization.

10715148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12974 (or 12969 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 27.

The square root of 10715148 is about 3273.4000672084. The cubic root of 10715148 is about 220.4614830836.

Adding to 10715148 its reverse (84151701), we get a palindrome (94866849).

The spelling of 10715148 in words is "ten million, seven hundred fifteen thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 828 12941 25882 38823 51764 77646 116469 155292 232938 297643 465876 595286 892929 1190572 1785858 2678787 3571716 5357574 10715148