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76000 = 255319
BaseRepresentation
bin10010100011100000
310212020211
4102203200
54413000
61343504
7434401
oct224340
9125224
1076000
1152111
1237b94
1328792
141d9a8
15177ba
hex128e0

76000 has 48 divisors (see below), whose sum is σ = 196560. Its totient is φ = 28800.

The previous prime is 75997. The next prime is 76001. The reversal of 76000 is 67.

It is a nialpdrome in base 10 and base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76001) 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, 3991 + ... + 4009.

It is an arithmetic number, because the mean of its divisors is an integer number (4095).

276000 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 76000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98280).

76000 is an abundant number, since it is smaller than the sum of its proper divisors (120560).

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

76000 is a wasteful number, since it uses less digits than its factorization.

76000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 13.

The square root of 76000 is about 275.6809750418. The cubic root of 76000 is about 42.3582358425.

Adding to 76000 its reverse (67), we get a palindrome (76067).

The spelling of 76000 in words is "seventy-six thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 76 80 95 100 125 152 160 190 200 250 304 380 400 475 500 608 760 800 950 1000 1520 1900 2000 2375 3040 3800 4000 4750 7600 9500 15200 19000 38000 76000