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2103768 = 233261479
BaseRepresentation
bin1000000001100111011000
310221212211100
420001213120
51014310033
6113031400
723611302
oct10014730
93855740
102103768
111207657
12855560
13588744
143ca972
152b8513
hex2019d8

2103768 has 48 divisors (see below), whose sum is σ = 5803200. Its totient is φ = 688320.

The previous prime is 2103749. The next prime is 2103769. The reversal of 2103768 is 8673012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2103769) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4153 + ... + 4631.

It is an arithmetic number, because the mean of its divisors is an integer number (120900).

22103768 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 2103768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2901600).

2103768 is an abundant number, since it is smaller than the sum of its proper divisors (3699432).

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

2103768 is a wasteful number, since it uses less digits than its factorization.

2103768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 2103768 is about 1450.4371754750. The cubic root of 2103768 is about 128.1344615658.

The spelling of 2103768 in words is "two million, one hundred three thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 61 72 122 183 244 366 479 488 549 732 958 1098 1437 1464 1916 2196 2874 3832 4311 4392 5748 8622 11496 17244 29219 34488 58438 87657 116876 175314 233752 262971 350628 525942 701256 1051884 2103768