Search a number
-
+
45065020 = 225711132251
BaseRepresentation
bin1010101111101…
…0001100111100
310010210112120211
42223322030330
543014040040
64245522204
71055021620
oct253721474
9103715524
1045065020
1123490020
1213113364
13944b0c0
145db1180
153e528ea
hex2afa33c

45065020 has 96 divisors (see below), whose sum is σ = 127120896. Its totient is φ = 12960000.

The previous prime is 45064993. The next prime is 45065021. The reversal of 45065020 is 2056054.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 45064982 and 45065000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45065021) 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, 18895 + ... + 21145.

It is an arithmetic number, because the mean of its divisors is an integer number (1324176).

Almost surely, 245065020 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 45065020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63560448).

45065020 is an abundant number, since it is smaller than the sum of its proper divisors (82055876).

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

45065020 is a wasteful number, since it uses less digits than its factorization.

45065020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2291 (or 2289 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 45065020 is about 6713.0484878332. The cubic root of 45065020 is about 355.8605585274.

The spelling of 45065020 in words is "forty-five million, sixty-five thousand, twenty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 52 55 65 70 77 91 110 130 140 143 154 182 220 260 286 308 364 385 455 572 715 770 910 1001 1430 1540 1820 2002 2251 2860 4004 4502 5005 9004 10010 11255 15757 20020 22510 24761 29263 31514 45020 49522 58526 63028 78785 99044 117052 123805 146315 157570 173327 204841 247610 292630 315140 321893 346654 409682 495220 585260 643786 693308 819364 866635 1024205 1287572 1609465 1733270 2048410 2253251 3218930 3466540 4096820 4506502 6437860 9013004 11266255 22532510 45065020