Search a number
-
+
45040520 = 2357315189
BaseRepresentation
bin1010101111010…
…0001110001000
310010202021222102
42223310032020
543012244040
64245212532
71054560320
oct253641610
9103667872
1045040520
1123473678
1213101148
13943cbc5
145da6280
153e4a515
hex2af4388

45040520 has 64 divisors (see below), whose sum is σ = 119577600. Its totient is φ = 14941440.

The previous prime is 45040519. The next prime is 45040529. The reversal of 45040520 is 2504054.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 45040492 and 45040501.

It is not an unprimeable number, because it can be changed into a prime (45040529) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6086 + ... + 11274.

It is an arithmetic number, because the mean of its divisors is an integer number (1868400).

Almost surely, 245040520 is an apocalyptic number.

45040520 is a gapful number since it is divisible by the number (40) 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 45040520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59788800).

45040520 is an abundant number, since it is smaller than the sum of its proper divisors (74537080).

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

45040520 is a wasteful number, since it uses less digits than its factorization.

45040520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5238 (or 5234 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 20.

The square root of 45040520 is about 6711.2234354103. The cubic root of 45040520 is about 355.7960579152.

Adding to 45040520 its reverse (2504054), we get a palindrome (47544574).

The spelling of 45040520 in words is "forty-five million, forty thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 31 35 40 56 62 70 124 140 155 217 248 280 310 434 620 868 1085 1240 1736 2170 4340 5189 8680 10378 20756 25945 36323 41512 51890 72646 103780 145292 160859 181615 207560 290584 321718 363230 643436 726460 804295 1126013 1286872 1452920 1608590 2252026 3217180 4504052 5630065 6434360 9008104 11260130 22520260 45040520