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45061020 = 223251391801
BaseRepresentation
bin1010101111100…
…1001110011100
310010210100002200
42223321032130
543013423040
64245451500
71055004144
oct253711634
9103710080
1045061020
1123488014
1213110b90
139449334
145dad924
153e51630
hex2af939c

45061020 has 72 divisors (see below), whose sum is σ = 137744880. Its totient is φ = 11923200.

The previous prime is 45061019. The next prime is 45061021. The reversal of 45061020 is 2016054.

It is a happy number.

45061020 is a `hidden beast` number, since 4 + 50 + 610 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (45061019) and next prime (45061021).

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 = 45060984 and 45061002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45061021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24120 + ... + 25920.

Almost surely, 245061020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45061020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68872440).

45061020 is an abundant number, since it is smaller than the sum of its proper divisors (92683860).

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

45061020 is a wasteful number, since it uses less digits than its factorization.

45061020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1955 (or 1950 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 45061020 is about 6712.7505539831. The cubic root of 45061020 is about 355.8500294123.

Adding to 45061020 its reverse (2016054), we get a palindrome (47077074).

The spelling of 45061020 in words is "forty-five million, sixty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 139 180 278 417 556 695 834 1251 1390 1668 1801 2085 2502 2780 3602 4170 5004 5403 6255 7204 8340 9005 10806 12510 16209 18010 21612 25020 27015 32418 36020 54030 64836 81045 108060 162090 250339 324180 500678 751017 1001356 1251695 1502034 2253051 2503390 3004068 3755085 4506102 5006780 7510170 9012204 11265255 15020340 22530510 45061020