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75620 = 22519199
BaseRepresentation
bin10010011101100100
310211201202
4102131210
54404440
61342032
7433316
oct223544
9124652
1075620
11518a6
1237918
132855c
141d7b6
1517615
hex12764

75620 has 24 divisors (see below), whose sum is σ = 168000. Its totient is φ = 28512.

The previous prime is 75619. The next prime is 75629. The reversal of 75620 is 2657.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 75592 and 75601.

It is not an unprimeable number, because it can be changed into a prime (75629) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 281 + ... + 479.

It is an arithmetic number, because the mean of its divisors is an integer number (7000).

275620 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 75620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84000).

75620 is an abundant number, since it is smaller than the sum of its proper divisors (92380).

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

75620 is a wasteful number, since it uses less digits than its factorization.

75620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 75620 is about 274.9909089406. The cubic root of 75620 is about 42.2875207931.

It can be divided in two parts, 7 and 5620, that multiplied together give a triangular number (39340 = T280).

The spelling of 75620 in words is "seventy-five thousand, six hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 199 380 398 796 995 1990 3781 3980 7562 15124 18905 37810 75620