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2103672 = 2332337103
BaseRepresentation
bin1000000001100101111000
310221212200210
420001211320
51014304142
6113031120
723611104
oct10014570
93855623
102103672
11120757a
128554a0
1358869c
143ca904
152b849c
hex201978

2103672 has 64 divisors (see below), whose sum is σ = 5690880. Its totient is φ = 646272.

The previous prime is 2103671. The next prime is 2103679. The reversal of 2103672 is 2763012.

It is a happy number.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2103671) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20373 + ... + 20475.

It is an arithmetic number, because the mean of its divisors is an integer number (88920).

22103672 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 2103672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2845440).

2103672 is an abundant number, since it is smaller than the sum of its proper divisors (3587208).

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

2103672 is a wasteful number, since it uses less digits than its factorization.

2103672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 2103672 is about 1450.4040816269. The cubic root of 2103672 is about 128.1325125081.

Adding to 2103672 its reverse (2763012), we get a palindrome (4866684).

It can be divided in two parts, 2103 and 672, that added together give a triangular number (2775 = T74).

The spelling of 2103672 in words is "two million, one hundred three thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 23 24 37 46 69 74 92 103 111 138 148 184 206 222 276 296 309 412 444 552 618 824 851 888 1236 1702 2369 2472 2553 3404 3811 4738 5106 6808 7107 7622 9476 10212 11433 14214 15244 18952 20424 22866 28428 30488 45732 56856 87653 91464 175306 262959 350612 525918 701224 1051836 2103672