Search a number
-
+
10745088 = 28317823
BaseRepresentation
bin101000111111…
…010100000000
3202012220111020
4220333110000
510222320323
61022145440
7160221534
oct50772400
922186436
1010745088
116079a42
123722280
1322c2a53
1415d9bc4
15e23ae3
hexa3f500

10745088 has 72 divisors (see below), whose sum is σ = 30316608. Its totient is φ = 3366912.

The previous prime is 10745081. The next prime is 10745099. The reversal of 10745088 is 88054701.

It is a happy number.

It is a super-2 number, since 2×107450882 = 230913832255488, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10745081) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12645 + ... + 13467.

It is an arithmetic number, because the mean of its divisors is an integer number (421064).

Almost surely, 210745088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10745088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15158304).

10745088 is an abundant number, since it is smaller than the sum of its proper divisors (19571520).

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

10745088 is an equidigital number, since it uses as much as digits as its factorization.

10745088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 859 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 33.

The square root of 10745088 is about 3277.9701035854. The cubic root of 10745088 is about 220.6666281290. Note that the first 4 decimals are identical.

Adding to 10745088 its reverse (88054701), we get a palindrome (98799789).

The spelling of 10745088 in words is "ten million, seven hundred forty-five thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 544 768 816 823 1088 1632 1646 2176 2469 3264 3292 4352 4938 6528 6584 9876 13056 13168 13991 19752 26336 27982 39504 41973 52672 55964 79008 83946 105344 111928 158016 167892 210688 223856 316032 335784 447712 632064 671568 895424 1343136 1790848 2686272 3581696 5372544 10745088