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2103312 = 243291511
BaseRepresentation
bin1000000001100000010000
310221212012110
420001200100
51014301222
6113025320
723610051
oct10014020
93855173
102103312
111207282
12855240
13588483
143ca728
152b830c
hex201810

2103312 has 40 divisors (see below), whose sum is σ = 5624640. Its totient is φ = 676480.

The previous prime is 2103307. The next prime is 2103317. The reversal of 2103312 is 2133012.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2103307) and next prime (2103317).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (2103317) 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, 637 + ... + 2147.

It is an arithmetic number, because the mean of its divisors is an integer number (140616).

22103312 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 2103312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2812320).

2103312 is an abundant number, since it is smaller than the sum of its proper divisors (3521328).

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

2103312 is a wasteful number, since it uses less digits than its factorization.

2103312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1551 (or 1545 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 2103312 is about 1450.2799729707. The cubic root of 2103312 is about 128.1252030138.

Adding to 2103312 its reverse (2133012), we get a palindrome (4236324).

It can be divided in two parts, 2103 and 312, that added together give a triangular number (2415 = T69).

The spelling of 2103312 in words is "two million, one hundred three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 348 464 696 1392 1511 3022 4533 6044 9066 12088 18132 24176 36264 43819 72528 87638 131457 175276 262914 350552 525828 701104 1051656 2103312