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5040072 = 233270001
BaseRepresentation
bin10011001110011111001000
3100111001200100
4103032133020
52242240242
6300005400
760561042
oct23163710
910431610
105040072
112932754
121830860
1310760bb
14952a92
1569854c
hex4ce7c8

5040072 has 24 divisors (see below), whose sum is σ = 13650390. Its totient is φ = 1680000.

The previous prime is 5040071. The next prime is 5040127. The reversal of 5040072 is 2700405.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 3437316 + 1602756 = 1854^2 + 1266^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is not an unprimeable number, because it can be changed into a prime (5040071) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 34929 + ... + 35072.

Almost surely, 25040072 is an apocalyptic number.

It is an amenable number.

5040072 is an abundant number, since it is smaller than the sum of its proper divisors (8610318).

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

5040072 is a wasteful number, since it uses less digits than its factorization.

5040072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70013 (or 70006 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 5040072 is about 2245.0104676816. The cubic root of 5040072 is about 171.4531940823.

Adding to 5040072 its reverse (2700405), we get a palindrome (7740477).

The spelling of 5040072 in words is "five million, forty thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 70001 140002 210003 280004 420006 560008 630009 840012 1260018 1680024 2520036 5040072