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2103680 = 27519173
BaseRepresentation
bin1000000001100110000000
310221212201002
420001212000
51014304210
6113031132
723611115
oct10014600
93855632
102103680
111207587
128554a8
135886a7
143ca90c
152b84a5
hex201980

2103680 has 64 divisors (see below), whose sum is σ = 5324400. Its totient is φ = 792576.

The previous prime is 2103679. The next prime is 2103683. The reversal of 2103680 is 863012.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2103683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12074 + ... + 12246.

22103680 is an apocalyptic number.

2103680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2103680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2662200).

2103680 is an abundant number, since it is smaller than the sum of its proper divisors (3220720).

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

2103680 is a wasteful number, since it uses less digits than its factorization.

2103680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 2103680 is about 1450.4068394764. The cubic root of 2103680 is about 128.1326749319.

Adding to 2103680 its reverse (863012), we get a palindrome (2966692).

The spelling of 2103680 in words is "two million, one hundred three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 128 152 160 173 190 304 320 346 380 608 640 692 760 865 1216 1384 1520 1730 2432 2768 3040 3287 3460 5536 6080 6574 6920 11072 12160 13148 13840 16435 22144 26296 27680 32870 52592 55360 65740 105184 110720 131480 210368 262960 420736 525920 1051840 2103680