Search a number
-
+
75020 = 22511231
BaseRepresentation
bin10010010100001100
310210220112
4102110030
54400040
61335152
7431501
oct222414
9123815
1075020
1151400
12374b8
13281ba
141d4a8
1517365
hex1250c

75020 has 36 divisors (see below), whose sum is σ = 178752. Its totient is φ = 26400.

The previous prime is 75017. The next prime is 75029. The reversal of 75020 is 2057.

75020 = T35 + T36 + ... + T78.

It is a junction number, because it is equal to n+sod(n) for n = 74986 and 75004.

It is not an unprimeable number, because it can be changed into a prime (75029) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2405 + ... + 2435.

275020 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 75020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89376).

75020 is an abundant number, since it is smaller than the sum of its proper divisors (103732).

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

75020 is a wasteful number, since it uses less digits than its factorization.

75020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 14.

The square root of 75020 is about 273.8977911558. The cubic root of 75020 is about 42.1753815216.

Adding to 75020 its reverse (2057), we get a palindrome (77077).

The spelling of 75020 in words is "seventy-five thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 31 44 55 62 110 121 124 155 220 242 310 341 484 605 620 682 1210 1364 1705 2420 3410 3751 6820 7502 15004 18755 37510 75020