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2103120 = 2432523127
BaseRepresentation
bin1000000001011101010000
310221211221100
420001131100
51014244440
6113024400
723606355
oct10013520
93854840
102103120
111207118
12855100
13588366
143ca62c
152b8230
hex201750

2103120 has 120 divisors (see below), whose sum is σ = 7428096. Its totient is φ = 532224.

The previous prime is 2103119. The next prime is 2103139. The reversal of 2103120 is 213012.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×21031202 = 8846227468800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 16497 + ... + 16623.

22103120 is an apocalyptic number.

2103120 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 2103120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3714048).

2103120 is an abundant number, since it is smaller than the sum of its proper divisors (5324976).

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

2103120 is a wasteful number, since it uses less digits than its factorization.

2103120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 2103120 is about 1450.2137773446. The cubic root of 2103120 is about 128.1213042757.

Adding to 2103120 its reverse (213012), we get a palindrome (2316132).

The spelling of 2103120 in words is "two million, one hundred three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 30 36 40 45 46 48 60 69 72 80 90 92 115 120 127 138 144 180 184 207 230 240 254 276 345 360 368 381 414 460 508 552 635 690 720 762 828 920 1016 1035 1104 1143 1270 1380 1524 1656 1840 1905 2032 2070 2286 2540 2760 2921 3048 3312 3810 4140 4572 5080 5520 5715 5842 6096 7620 8280 8763 9144 10160 11430 11684 14605 15240 16560 17526 18288 22860 23368 26289 29210 30480 35052 43815 45720 46736 52578 58420 70104 87630 91440 105156 116840 131445 140208 175260 210312 233680 262890 350520 420624 525780 701040 1051560 2103120