Search a number
-
+
45645660 = 22335137617
BaseRepresentation
bin1010111000011…
…1111101011100
310011220001002000
42232013331130
543141130120
64310202300
71062660504
oct256077534
9104801060
1045645660
1123847295
1213353390
1395c2488
1460c2a04
154019990
hex2b87f5c

45645660 has 96 divisors (see below), whose sum is σ = 143277120. Its totient is φ = 12063744.

The previous prime is 45645653. The next prime is 45645689. The reversal of 45645660 is 6654654.

It is a happy number.

45645660 is a `hidden beast` number, since 4 + 5 + 645 + 6 + 6 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73672 + ... + 74288.

It is an arithmetic number, because the mean of its divisors is an integer number (1492470).

Almost surely, 245645660 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 45645660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71638560).

45645660 is an abundant number, since it is smaller than the sum of its proper divisors (97631460).

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

45645660 is a wasteful number, since it uses less digits than its factorization.

45645660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 45645660 is about 6756.1571917770. The cubic root of 45645660 is about 357.3824021902.

The spelling of 45645660 in words is "forty-five million, six hundred forty-five thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 137 180 270 274 411 540 548 617 685 822 1233 1234 1370 1644 1851 2055 2466 2468 2740 3085 3699 3702 4110 4932 5553 6165 6170 7398 7404 8220 9255 11106 12330 12340 14796 16659 18495 18510 22212 24660 27765 33318 36990 37020 55530 66636 73980 83295 84529 111060 166590 169058 253587 333180 338116 422645 507174 760761 845290 1014348 1267935 1521522 1690580 2282283 2535870 3043044 3803805 4564566 5071740 7607610 9129132 11411415 15215220 22822830 45645660