Search a number
-
+
10049780 = 2251338653
BaseRepresentation
bin100110010101…
…100011110100
3200220120201002
4212111203310
510033043110
6555222432
7151264436
oct46254364
920816632
1010049780
115744604
123447a18
13210b420
141498656
15d37aa5
hex9958f4

10049780 has 24 divisors (see below), whose sum is σ = 22728552. Its totient is φ = 3710592.

The previous prime is 10049779. The next prime is 10049783. The reversal of 10049780 is 8794001.

10049780 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 139876 + 9909904 = 374^2 + 3148^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10049783) 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, 19067 + ... + 19586.

It is an arithmetic number, because the mean of its divisors is an integer number (947023).

Almost surely, 210049780 is an apocalyptic number.

10049780 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10049780 is an abundant number, since it is smaller than the sum of its proper divisors (12678772).

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

10049780 is a wasteful number, since it uses less digits than its factorization.

10049780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38675 (or 38673 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 29.

The square root of 10049780 is about 3170.1387982232. The cubic root of 10049780 is about 215.8003699686.

The spelling of 10049780 in words is "ten million, forty-nine thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 38653 77306 154612 193265 386530 502489 773060 1004978 2009956 2512445 5024890 10049780