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10049220 = 2232555829
BaseRepresentation
bin100110010101…
…011011000100
3200220112221100
4212111123010
510033033340
6555220100
7151263006
oct46253304
920815840
1010049220
115744145
123447630
13210b0ac
141498376
15d37830
hex9956c4

10049220 has 36 divisors (see below), whose sum is σ = 30483180. Its totient is φ = 2679744.

The previous prime is 10049219. The next prime is 10049231. The reversal of 10049220 is 2294001.

It can be written as a sum of positive squares in 2 ways, for example, as 3968064 + 6081156 = 1992^2 + 2466^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10049193 and 10049202.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 27735 + ... + 28094.

It is an arithmetic number, because the mean of its divisors is an integer number (846755).

Almost surely, 210049220 is an apocalyptic number.

10049220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10049220 is an abundant number, since it is smaller than the sum of its proper divisors (20433960).

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

10049220 is a wasteful number, since it uses less digits than its factorization.

10049220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55844 (or 55839 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 10049220 is about 3170.0504727843. The cubic root of 10049220 is about 215.7963615740.

The spelling of 10049220 in words is "ten million, forty-nine thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 55829 111658 167487 223316 279145 334974 502461 558290 669948 837435 1004922 1116580 1674870 2009844 2512305 3349740 5024610 10049220