Search a number
-
+
10653142530 = 2352330750291
BaseRepresentation
bin10011110101111101…
…00000111000000010
31000111102202201020110
421322332200320002
5133304201030110
64521033452150
7524665134402
oct117276407002
930442681213
1010653142530
11457746a728
122093871056
13100a101944
14730bc0802
154253c6a20
hex27afa0e02

10653142530 has 64 divisors (see below), whose sum is σ = 26766609408. Its totient is φ = 2708418240.

The previous prime is 10653142417. The next prime is 10653142537. The reversal of 10653142530 is 3524135601.

It is a super-2 number, since 2×106531425302 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10653142537) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 186685 + ... + 236975.

It is an arithmetic number, because the mean of its divisors is an integer number (418228272).

Almost surely, 210653142530 is an apocalyptic number.

10653142530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10653142530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13383304704).

10653142530 is an abundant number, since it is smaller than the sum of its proper divisors (16113466878).

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

10653142530 is a wasteful number, since it uses less digits than its factorization.

10653142530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50631.

The product of its (nonzero) digits is 10800, while the sum is 30.

The spelling of 10653142530 in words is "ten billion, six hundred fifty-three million, one hundred forty-two thousand, five hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 230 307 345 614 690 921 1535 1842 3070 4605 7061 9210 14122 21183 35305 42366 50291 70610 100582 105915 150873 211830 251455 301746 502910 754365 1156693 1508730 2313386 3470079 5783465 6940158 11566930 15439337 17350395 30878674 34700790 46318011 77196685 92636022 154393370 231590055 355104751 463180110 710209502 1065314253 1775523755 2130628506 3551047510 5326571265 10653142530