Search a number
-
+
10047040 = 26531397
BaseRepresentation
bin100110010100…
…111001000000
3200220102221121
4212110321000
510033001130
6555202024
7151253443
oct46247100
920812847
1010047040
115742543
123446314
13210a0c3
14149765a
15d36d7a
hex994e40

10047040 has 28 divisors (see below), whose sum is σ = 23925276. Its totient is φ = 4018688.

The previous prime is 10047031. The next prime is 10047043. The reversal of 10047040 is 4074001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3936256 + 6110784 = 1984^2 + 2472^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (10047043) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15379 + ... + 16018.

Almost surely, 210047040 is an apocalyptic number.

10047040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10047040 is an abundant number, since it is smaller than the sum of its proper divisors (13878236).

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

10047040 is an equidigital number, since it uses as much as digits as its factorization.

10047040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31414 (or 31404 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 16.

The square root of 10047040 is about 3169.7066110289. The cubic root of 10047040 is about 215.7807560480.

The spelling of 10047040 in words is "ten million, forty-seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 31397 62794 125588 156985 251176 313970 502352 627940 1004704 1255880 2009408 2511760 5023520 10047040