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2083104 = 25332411
BaseRepresentation
bin111111100100100100000
310220211111000
413330210200
51013124404
6112352000
723464122
oct7744440
93824430
102083104
1111a3081
12845600
1357c20a
143c3212
152b2339
hex1fc920

2083104 has 48 divisors (see below), whose sum is σ = 6078240. Its totient is φ = 694080.

The previous prime is 2083091. The next prime is 2083117. The reversal of 2083104 is 4013802.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2083091) and next prime (2083117).

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a nialpdrome in base 8.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 342 + ... + 2069.

It is an arithmetic number, because the mean of its divisors is an integer number (126630).

22083104 is an apocalyptic number.

2083104 is a gapful number since it is divisible by the number (24) 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 2083104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3039120).

2083104 is an abundant number, since it is smaller than the sum of its proper divisors (3995136).

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

2083104 is a wasteful number, since it uses less digits than its factorization.

2083104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2430 (or 2416 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2083104 is about 1443.2962273906. The cubic root of 2083104 is about 127.7135521524.

Adding to 2083104 its reverse (4013802), we get a palindrome (6096906).

It can be divided in two parts, 2083 and 104, that added together give a 7-th power (2187 = 37).

The spelling of 2083104 in words is "two million, eighty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 2411 4822 7233 9644 14466 19288 21699 28932 38576 43398 57864 65097 77152 86796 115728 130194 173592 231456 260388 347184 520776 694368 1041552 2083104