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2047140 = 2233517223
BaseRepresentation
bin111110011110010100100
310212000011000
413303302210
51011002030
6111513300
723254224
oct7636244
93760130
102047140
111179057
12828830
13568a34
143b4084
152a6860
hex1f3ca4

2047140 has 96 divisors (see below), whose sum is σ = 6773760. Its totient is φ = 511488.

The previous prime is 2047121. The next prime is 2047141. The reversal of 2047140 is 417402.

It is a happy number.

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

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2047141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9069 + ... + 9291.

It is an arithmetic number, because the mean of its divisors is an integer number (70560).

22047140 is an apocalyptic number.

2047140 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 2047140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3386880).

2047140 is an abundant number, since it is smaller than the sum of its proper divisors (4726620).

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

2047140 is a wasteful number, since it uses less digits than its factorization.

2047140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 2047140 is about 1430.7830024151. The cubic root of 2047140 is about 126.9743060841.

It can be divided in two parts, 2047 and 140, that added together give a 7-th power (2187 = 37).

The spelling of 2047140 in words is "two million, forty-seven thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 27 30 34 36 45 51 54 60 68 85 90 102 108 135 153 170 180 204 223 255 270 306 340 446 459 510 540 612 669 765 892 918 1020 1115 1338 1530 1836 2007 2230 2295 2676 3060 3345 3791 4014 4460 4590 6021 6690 7582 8028 9180 10035 11373 12042 13380 15164 18955 20070 22746 24084 30105 34119 37910 40140 45492 56865 60210 68238 75820 102357 113730 120420 136476 170595 204714 227460 341190 409428 511785 682380 1023570 2047140