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45430020 = 22325673767
BaseRepresentation
bin1010110101001…
…1010100000100
310011111002021100
42231103110010
543112230040
64301420100
71061102016
oct255232404
9104432240
1045430020
112370a279
121326a630
13954828c
1460681b6
153ec5b30
hex2b53504

45430020 has 72 divisors (see below), whose sum is σ = 139898304. Its totient is φ = 11930688.

The previous prime is 45430003. The next prime is 45430027. The reversal of 45430020 is 2003454.

It is a happy number.

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 = 45429975 and 45430002.

It is not an unprimeable number, because it can be changed into a prime (45430027) 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 23 ways as a sum of consecutive naturals, for example, 10177 + ... + 13943.

It is an arithmetic number, because the mean of its divisors is an integer number (1943032).

Almost surely, 245430020 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 45430020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69949152).

45430020 is an abundant number, since it is smaller than the sum of its proper divisors (94468284).

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

45430020 is a wasteful number, since it uses less digits than its factorization.

45430020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3849 (or 3844 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 45430020 is about 6740.1795228317. The cubic root of 45430020 is about 356.8187296200.

Adding to 45430020 its reverse (2003454), we get a palindrome (47433474).

The spelling of 45430020 in words is "forty-five million, four hundred thirty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 67 90 134 180 201 268 335 402 603 670 804 1005 1206 1340 2010 2412 3015 3767 4020 6030 7534 11301 12060 15068 18835 22602 33903 37670 45204 56505 67806 75340 113010 135612 169515 226020 252389 339030 504778 678060 757167 1009556 1261945 1514334 2271501 2523890 3028668 3785835 4543002 5047780 7571670 9086004 11357505 15143340 22715010 45430020