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2103904 = 251143139
BaseRepresentation
bin1000000001101001100000
310221220000101
420001221200
51014311104
6113032144
723611555
oct10015140
93856011
102103904
111207770
12855654
1358881a
143caa2c
152b85a4
hex201a60

2103904 has 48 divisors (see below), whose sum is σ = 4656960. Its totient is φ = 927360.

The previous prime is 2103901. The next prime is 2103911. The reversal of 2103904 is 4093012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2103901) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15067 + ... + 15205.

It is an arithmetic number, because the mean of its divisors is an integer number (97020).

22103904 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 2103904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2328480).

2103904 is an abundant number, since it is smaller than the sum of its proper divisors (2553056).

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

2103904 is a wasteful number, since it uses less digits than its factorization.

2103904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 2103904 is about 1450.4840571340. The cubic root of 2103904 is about 128.1372226293.

Adding to 2103904 its reverse (4093012), we get a palindrome (6196916).

It can be divided in two parts, 210 and 3904, that multiplied together give a triangular number (819840 = T1280).

The spelling of 2103904 in words is "two million, one hundred three thousand, nine hundred four".

Divisors: 1 2 4 8 11 16 22 32 43 44 86 88 139 172 176 278 344 352 473 556 688 946 1112 1376 1529 1892 2224 3058 3784 4448 5977 6116 7568 11954 12232 15136 23908 24464 47816 48928 65747 95632 131494 191264 262988 525976 1051952 2103904