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10076076 = 2234137227
BaseRepresentation
bin100110011011…
…111110101100
3200221220210000
4212123332230
510034413301
6555544300
7151434213
oct46337654
920856700
1010076076
11576233a
12345b090
13211a39a
1414a407a
15d40786
hex99bfac

10076076 has 60 divisors (see below), whose sum is σ = 26650008. Its totient is φ = 3319488.

The previous prime is 10076071. The next prime is 10076081. The reversal of 10076076 is 67067001.

It is an interprime number because it is at equal distance from previous prime (10076071) and next prime (10076081).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (10076071) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 44275 + ... + 44501.

Almost surely, 210076076 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 10076076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13325004).

10076076 is an abundant number, since it is smaller than the sum of its proper divisors (16573932).

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

10076076 is a wasteful number, since it uses less digits than its factorization.

10076076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 10076076 is about 3174.2835412105. The cubic root of 10076076 is about 215.9884253057.

It can be divided in two parts, 100 and 76076, that added together give a square (76176 = 2762).

The spelling of 10076076 in words is "ten million, seventy-six thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 137 162 227 274 324 411 454 548 681 822 908 1233 1362 1644 2043 2466 2724 3699 4086 4932 6129 7398 8172 11097 12258 14796 18387 22194 24516 31099 36774 44388 62198 73548 93297 124396 186594 279891 373188 559782 839673 1119564 1679346 2519019 3358692 5038038 10076076