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76540 = 2254389
BaseRepresentation
bin10010101011111100
310212222211
4102223330
54422130
61350204
7436102
oct225374
9125884
1076540
1152562
1238364
1328ab9
141dc72
1517a2a
hex12afc

76540 has 24 divisors (see below), whose sum is σ = 166320. Its totient is φ = 29568.

The previous prime is 76537. The next prime is 76541. The reversal of 76540 is 4567.

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76541) 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, 816 + ... + 904.

It is an arithmetic number, because the mean of its divisors is an integer number (6930).

276540 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 76540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83160).

76540 is an abundant number, since it is smaller than the sum of its proper divisors (89780).

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

76540 is a wasteful number, since it uses less digits than its factorization.

76540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 76540 is about 276.6586344216. The cubic root of 76540 is about 42.4583213085.

It can be divided in two parts, 76 and 540, that added together give a palindrome (616).

The spelling of 76540 in words is "seventy-six thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 43 86 89 172 178 215 356 430 445 860 890 1780 3827 7654 15308 19135 38270 76540