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2010048 = 26319229
BaseRepresentation
bin111101010101111000000
310210010021020
413222233000
51003310143
6111025440
723041125
oct7525700
93703236
102010048
1111531a7
1280b280
13554ba1
143a474c
1529a883
hex1eabc0

2010048 has 84 divisors (see below), whose sum is σ = 5806440. Its totient is φ = 612864.

The previous prime is 2010037. The next prime is 2010053. The reversal of 2010048 is 8400102.

It is an Ulam number.

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, 69298 + ... + 69326.

22010048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2010048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2903220).

2010048 is an abundant number, since it is smaller than the sum of its proper divisors (3796392).

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

2010048 is a wasteful number, since it uses less digits than its factorization.

2010048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 2010048 is about 1417.7616160695. The cubic root of 2010048 is about 126.2027474050.

The spelling of 2010048 in words is "two million, ten thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 29 32 38 48 57 58 64 76 87 96 114 116 152 174 192 228 232 304 348 361 456 464 551 608 696 722 912 928 1083 1102 1216 1392 1444 1653 1824 1856 2166 2204 2784 2888 3306 3648 4332 4408 5568 5776 6612 8664 8816 10469 11552 13224 17328 17632 20938 23104 26448 31407 34656 35264 41876 52896 62814 69312 83752 105792 125628 167504 251256 335008 502512 670016 1005024 2010048