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2105370 = 2325149157
BaseRepresentation
bin1000000010000000011010
310221222000200
420002000122
51014332440
6113043030
723616051
oct10020032
93858020
102105370
111208883
12856476
135893a7
143cb398
152b8c30
hex20201a

2105370 has 48 divisors (see below), whose sum is σ = 5545800. Its totient is φ = 554112.

The previous prime is 2105359. The next prime is 2105377. The reversal of 2105370 is 735012.

It can be written as a sum of positive squares in 4 ways, for example, as 1046529 + 1058841 = 1023^2 + 1029^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2105377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13332 + ... + 13488.

22105370 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2105370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2772900).

2105370 is an abundant number, since it is smaller than the sum of its proper divisors (3440430).

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

2105370 is a wasteful number, since it uses less digits than its factorization.

2105370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 2105370 is about 1450.9893176726. The cubic root of 2105370 is about 128.1669777186.

The spelling of 2105370 in words is "two million, one hundred five thousand, three hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 149 157 298 314 447 471 745 785 894 942 1341 1413 1490 1570 2235 2355 2682 2826 4470 4710 6705 7065 13410 14130 23393 46786 70179 116965 140358 210537 233930 350895 421074 701790 1052685 2105370