Search a number
-
+
45360320 = 265229619
BaseRepresentation
bin1010110100001…
…0010011000000
310011100112122212
42231002103000
543103012240
64300121252
71060361555
oct255022300
9104315585
1045360320
1123671975
1213236228
139522635
14604aa2c
153eb0165
hex2b424c0

45360320 has 56 divisors (see below), whose sum is σ = 108661200. Its totient is φ = 18035712.

The previous prime is 45360307. The next prime is 45360323. The reversal of 45360320 is 2306354.

It is not an unprimeable number, because it can be changed into a prime (45360323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72971 + ... + 73589.

Almost surely, 245360320 is an apocalyptic number.

45360320 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 45360320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54330600).

45360320 is an abundant number, since it is smaller than the sum of its proper divisors (63300880).

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

45360320 is a wasteful number, since it uses less digits than its factorization.

45360320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 23.

The square root of 45360320 is about 6735.0070527060. The cubic root of 45360320 is about 356.6361558124.

Adding to 45360320 its reverse (2306354), we get a palindrome (47666674).

The spelling of 45360320 in words is "forty-five million, three hundred sixty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 229 320 458 619 916 1145 1238 1832 2290 2476 3095 3664 4580 4952 6190 7328 9160 9904 12380 14656 18320 19808 24760 36640 39616 49520 73280 99040 141751 198080 283502 567004 708755 1134008 1417510 2268016 2835020 4536032 5670040 9072064 11340080 22680160 45360320