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45320000 = 265411103
BaseRepresentation
bin1010110011100…
…0011101000000
310011021111100112
42230320131000
543100220000
64255210452
71060133165
oct254703500
9104244315
1045320000
1123644650
1213216a28
13950a18b
14603a06c
153ea3235
hex2b38740

45320000 has 140 divisors (see below), whose sum is σ = 123785376. Its totient is φ = 16320000.

The previous prime is 45319999. The next prime is 45320003. The reversal of 45320000 is 2354.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45320003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 439949 + ... + 440051.

Almost surely, 245320000 is an apocalyptic number.

45320000 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 45320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61892688).

45320000 is an abundant number, since it is smaller than the sum of its proper divisors (78465376).

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

45320000 is a wasteful number, since it uses less digits than its factorization.

45320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 14.

The square root of 45320000 is about 6732.0130718827. The cubic root of 45320000 is about 356.5304552611.

Adding to 45320000 its reverse (2354), we get a palindrome (45322354).

The spelling of 45320000 in words is "forty-five million, three hundred twenty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 103 110 125 160 176 200 206 220 250 275 320 352 400 412 440 500 515 550 625 704 800 824 880 1000 1030 1100 1133 1250 1375 1600 1648 1760 2000 2060 2200 2266 2500 2575 2750 3296 3520 4000 4120 4400 4532 5000 5150 5500 5665 6592 6875 8000 8240 8800 9064 10000 10300 11000 11330 12875 13750 16480 17600 18128 20000 20600 22000 22660 25750 27500 28325 32960 36256 40000 41200 44000 45320 51500 55000 56650 64375 72512 82400 88000 90640 103000 110000 113300 128750 141625 164800 181280 206000 220000 226600 257500 283250 362560 412000 440000 453200 515000 566500 708125 824000 906400 1030000 1133000 1416250 1812800 2060000 2266000 2832500 4120000 4532000 5665000 9064000 11330000 22660000 45320000