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2100648 = 2331173109
BaseRepresentation
bin1000000000110110101000
310221201112210
420000312220
51014210043
6113005120
723566224
oct10006650
93851483
102100648
111205280
128537a0
135871b4
143c9784
152b7633
hex200da8

2100648 has 64 divisors (see below), whose sum is σ = 5860800. Its totient is φ = 622080.

The previous prime is 2100629. The next prime is 2100649. The reversal of 2100648 is 8460012.

It is not an unprimeable number, because it can be changed into a prime (2100649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19218 + ... + 19326.

It is an arithmetic number, because the mean of its divisors is an integer number (91575).

22100648 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 2100648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2930400).

2100648 is an abundant number, since it is smaller than the sum of its proper divisors (3760152).

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

2100648 is a wasteful number, since it uses less digits than its factorization.

2100648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 2100648 is about 1449.3612386151. The cubic root of 2100648 is about 128.0710868156.

The spelling of 2100648 in words is "two million, one hundred thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 73 88 109 132 146 218 219 264 292 327 436 438 584 654 803 872 876 1199 1308 1606 1752 2398 2409 2616 3212 3597 4796 4818 6424 7194 7957 9592 9636 14388 15914 19272 23871 28776 31828 47742 63656 87527 95484 175054 190968 262581 350108 525162 700216 1050324 2100648