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45020520 = 23325791583
BaseRepresentation
bin1010101110111…
…1010101101000
310010201021112200
42223233111220
543011124040
64244540200
71054445106
oct253572550
9103637480
1045020520
112345a646
12130b1660
139433a7c
145d9cc76
153e44630
hex2aef568

45020520 has 96 divisors (see below), whose sum is σ = 148262400. Its totient is φ = 11846016.

The previous prime is 45020509. The next prime is 45020543. The reversal of 45020520 is 2502054.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 45020493 and 45020502.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27649 + ... + 29231.

It is an arithmetic number, because the mean of its divisors is an integer number (1544400).

Almost surely, 245020520 is an apocalyptic number.

45020520 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 45020520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74131200).

45020520 is an abundant number, since it is smaller than the sum of its proper divisors (103241880).

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

45020520 is a wasteful number, since it uses less digits than its factorization.

45020520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1679 (or 1672 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 45020520 is about 6709.7332286761. The cubic root of 45020520 is about 355.7433870115.

Adding to 45020520 its reverse (2502054), we get a palindrome (47522574).

The spelling of 45020520 in words is "forty-five million, twenty thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 79 90 120 158 180 237 316 360 395 474 632 711 790 948 1185 1422 1580 1583 1896 2370 2844 3160 3166 3555 4740 4749 5688 6332 7110 7915 9480 9498 12664 14220 14247 15830 18996 23745 28440 28494 31660 37992 47490 56988 63320 71235 94980 113976 125057 142470 189960 250114 284940 375171 500228 569880 625285 750342 1000456 1125513 1250570 1500684 1875855 2251026 2501140 3001368 3751710 4502052 5002280 5627565 7503420 9004104 11255130 15006840 22510260 45020520