Search a number
10080000 = 2832547
BaseRepresentation
bin100110011100…
…111100000000
3200222010011100
4212130330000
510040030000
61000014400
7151451520
oct46347400
920863140
1010080000
115765287
123461400
13211c0c8
1414a5680
15d41a00
hex99cf00

10080000 has 270 divisors, whose sum is σ = 41505464. Its totient is φ = 2304000.

The previous prime is 10079989. The next prime is 10080011. The reversal of 10080000 is 8001.

It is an interprime number because it is at equal distance from previous prime (10079989) and next prime (10080011).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1439997 + ... + 1440003.

Almost surely, 210080000 is an apocalyptic number.

10080000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20752732).

10080000 is an abundant number, since it is smaller than the sum of its proper divisors (31425464).

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

10080000 is an frugal number, since it uses more digits than its factorization.

10080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 10080000 is about 3174.9015732775. The cubic root of 10080000 is about 216.0164596511.

Adding to 10080000 its reverse (8001), we get a palindrome (10088001).

It can be divided in two parts, 100 and 80000, that multiplied together give a cube (8000000 = 2003).

The spelling of 10080000 in words is "ten million, eighty thousand".