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1000076 = 2271117191
BaseRepresentation
bin11110100001010001100
31212210211212
43310022030
5224000301
633233552
711333450
oct3641214
91783755
101000076
11623410
124028b8
1329027c
141c0660
1514b4bb
hexf428c

1000076 has 48 divisors (see below), whose sum is σ = 2322432. Its totient is φ = 364800.

The previous prime is 1000039. The next prime is 1000081. The reversal of 1000076 is 6700001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a self number, because there is not a number n which added to its sum of digits gives 1000076.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5141 + ... + 5331.

It is an arithmetic number, because the mean of its divisors is an integer number (48384).

21000076 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 1000076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1161216).

1000076 is an abundant number, since it is smaller than the sum of its proper divisors (1322356).

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

1000076 is a wasteful number, since it uses less digits than its factorization.

1000076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 14.

The square root of 1000076 is about 1000.0379992780. The cubic root of 1000076 is about 100.0025332692.

Adding to 1000076 its reverse (6700001), we get a palindrome (7700077).

The spelling of 1000076 in words is "one million, seventy-six", and thus it is an aban number and an uban number.

Divisors: 1 2 4 7 11 14 17 22 28 34 44 68 77 119 154 187 191 238 308 374 382 476 748 764 1309 1337 2101 2618 2674 3247 4202 5236 5348 6494 8404 12988 14707 22729 29414 35717 45458 58828 71434 90916 142868 250019 500038 1000076