Search a number
-
+
663470136 = 23337736011
BaseRepresentation
bin100111100010111…
…100000000111000
31201020102202221000
4213202330000320
52324322021021
6145500245000
722304255160
oct4742740070
91636382830
10663470136
11310569a2a
12166240760
13a75bc1a4
14641895a0
153d3a8b26
hex278bc038

663470136 has 128 divisors (see below), whose sum is σ = 2135462400. Its totient is φ = 186935040.

The previous prime is 663470081. The next prime is 663470141. The reversal of 663470136 is 631074366.

It is a happy number.

663470136 is a `hidden beast` number, since 6 + 634 + 7 + 0 + 13 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 663470136.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107371 + ... + 113381.

It is an arithmetic number, because the mean of its divisors is an integer number (16683300).

Almost surely, 2663470136 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 663470136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1067731200).

663470136 is an abundant number, since it is smaller than the sum of its proper divisors (1471992264).

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

663470136 is a wasteful number, since it uses less digits than its factorization.

663470136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6106 (or 6096 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 663470136 is about 25757.9140459782. The cubic root of 663470136 is about 872.1820138809.

The spelling of 663470136 in words is "six hundred sixty-three million, four hundred seventy thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 73 84 108 126 146 168 189 216 219 252 292 378 438 504 511 584 657 756 876 1022 1314 1512 1533 1752 1971 2044 2628 3066 3942 4088 4599 5256 6011 6132 7884 9198 12022 12264 13797 15768 18033 18396 24044 27594 36066 36792 42077 48088 54099 55188 72132 84154 108198 110376 126231 144264 162297 168308 216396 252462 324594 336616 378693 432792 438803 504924 649188 757386 877606 1009848 1136079 1298376 1316409 1514772 1755212 2272158 2632818 3029544 3071621 3510424 3949227 4544316 5265636 6143242 7898454 9088632 9214863 10531272 11847681 12286484 15796908 18429726 23695362 24572968 27644589 31593816 36859452 47390724 55289178 73718904 82933767 94781448 110578356 165867534 221156712 331735068 663470136