Search a number
-
+
45391320 = 23335135361
BaseRepresentation
bin1010110100100…
…1110111011000
310011102010012000
42231021313120
543110010240
64300521000
71060551132
oct255116730
9104363160
1045391320
1123693197
1213250160
139533790
146058052
153eb9430
hex2b49dd8

45391320 has 256 divisors, whose sum is σ = 168739200. Its totient is φ = 10782720.

The previous prime is 45391277. The next prime is 45391321. The reversal of 45391320 is 2319354.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45391321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 744090 + ... + 744150.

Almost surely, 245391320 is an apocalyptic number.

45391320 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 45391320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84369600).

45391320 is an abundant number, since it is smaller than the sum of its proper divisors (123347880).

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

45391320 is a wasteful number, since it uses less digits than its factorization.

45391320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 45391320 is about 6737.3080677671. The cubic root of 45391320 is about 356.7173810127.

The spelling of 45391320 in words is "forty-five million, three hundred ninety-one thousand, three hundred twenty".