Search a number
-
+
10049960 = 235435843
BaseRepresentation
bin100110010101…
…100110101000
3200220120221202
4212111212220
510033044320
6555223332
7151265114
oct46254650
920816852
1010049960
115744758
123447b48
13210b52b
141498744
15d37b75
hex9959a8

10049960 has 32 divisors (see below), whose sum is σ = 23142240. Its totient is φ = 3925824.

The previous prime is 10049959. The next prime is 10049981. The reversal of 10049960 is 6994001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1202 + ... + 4641.

It is an arithmetic number, because the mean of its divisors is an integer number (723195).

Almost surely, 210049960 is an apocalyptic number.

10049960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10049960 is an abundant number, since it is smaller than the sum of its proper divisors (13092280).

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

10049960 is a wasteful number, since it uses less digits than its factorization.

10049960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5897 (or 5893 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 29.

The square root of 10049960 is about 3170.1671880202. The cubic root of 10049960 is about 215.8016583495.

The spelling of 10049960 in words is "ten million, forty-nine thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 43 86 172 215 344 430 860 1720 5843 11686 23372 29215 46744 58430 116860 233720 251249 502498 1004996 1256245 2009992 2512490 5024980 10049960