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45373120 = 265132839
BaseRepresentation
bin1010110100010…
…1011011000000
310011101012012221
42231011123000
543103414440
64300300424
71060444102
oct255053300
9104335187
1045373120
1123680551
1213241714
139528400
146051572
153eb3d4a
hex2b456c0

45373120 has 84 divisors (see below), whose sum is σ = 117134640. Its totient is φ = 16733184.

The previous prime is 45373073. The next prime is 45373123. The reversal of 45373120 is 2137354.

It is not an unprimeable number, because it can be changed into a prime (45373123) 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 11 ways as a sum of consecutive naturals, for example, 53661 + ... + 54499.

It is an arithmetic number, because the mean of its divisors is an integer number (1394460).

Almost surely, 245373120 is an apocalyptic number.

45373120 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 45373120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58567320).

45373120 is an abundant number, since it is smaller than the sum of its proper divisors (71761520).

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

45373120 is a wasteful number, since it uses less digits than its factorization.

45373120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 882 (or 859 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 25.

The square root of 45373120 is about 6735.9572445199. The cubic root of 45373120 is about 356.6696984438.

It can be divided in two parts, 4 and 5373120, that added together give a square (5373124 = 23182).

The spelling of 45373120 in words is "forty-five million, three hundred seventy-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 169 208 260 320 338 416 520 676 832 839 845 1040 1352 1678 1690 2080 2704 3356 3380 4160 4195 5408 6712 6760 8390 10816 10907 13424 13520 16780 21814 26848 27040 33560 43628 53696 54080 54535 67120 87256 109070 134240 141791 174512 218140 268480 283582 349024 436280 567164 698048 708955 872560 1134328 1417910 1745120 2268656 2835820 3490240 4537312 5671640 9074624 11343280 22686560 45373120