Search a number
-
+
10151064 = 23327111831
BaseRepresentation
bin100110101110…
…010010011000
3201002201122100
4212232102120
510044313224
61001323400
7152165640
oct46562230
921081570
1010151064
115803710
123496560
132145561
1414c3520
15d57ac9
hex9ae498

10151064 has 96 divisors (see below), whose sum is σ = 34295040. Its totient is φ = 2635200.

The previous prime is 10151051. The next prime is 10151069. The reversal of 10151064 is 46015101.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10151069) 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 23 ways as a sum of consecutive naturals, for example, 4629 + ... + 6459.

It is an arithmetic number, because the mean of its divisors is an integer number (357240).

Almost surely, 210151064 is an apocalyptic number.

10151064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10151064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17147520).

10151064 is an abundant number, since it is smaller than the sum of its proper divisors (24143976).

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

10151064 is a wasteful number, since it uses less digits than its factorization.

10151064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1861 (or 1854 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 10151064 is about 3186.0734454811. The cubic root of 10151064 is about 216.5229100309.

Adding to 10151064 its reverse (46015101), we get a palindrome (56166165).

The spelling of 10151064 in words is "ten million, one hundred fifty-one thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 28 33 36 42 44 56 63 66 72 77 84 88 99 126 132 154 168 198 231 252 264 308 396 462 504 616 693 792 924 1386 1831 1848 2772 3662 5493 5544 7324 10986 12817 14648 16479 20141 21972 25634 32958 38451 40282 43944 51268 60423 65916 76902 80564 102536 115353 120846 131832 140987 153804 161128 181269 230706 241692 281974 307608 362538 422961 461412 483384 563948 725076 845922 922824 1127896 1268883 1450152 1691844 2537766 3383688 5075532 10151064