Search a number
-
+
2897820 = 2232517947
BaseRepresentation
bin1011000011011110011100
312110020001200
423003132130
51220212240
6142035500
733426312
oct13033634
95406050
102897820
1116aa1a2
12b78b90
137a5cb3
145560b2
153c3930
hex2c379c

2897820 has 72 divisors (see below), whose sum is σ = 9316944. Its totient is φ = 726528.

The previous prime is 2897819. The next prime is 2897827. The reversal of 2897820 is 287982.

2897820 = T93 + T94 + ... + T262.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2897827) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2587 + ... + 3533.

It is an arithmetic number, because the mean of its divisors is an integer number (129402).

22897820 is an apocalyptic number.

2897820 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 2897820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4658472).

2897820 is an abundant number, since it is smaller than the sum of its proper divisors (6419124).

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

2897820 is a wasteful number, since it uses less digits than its factorization.

2897820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 979 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 2897820 is about 1702.2984462191. The cubic root of 2897820 is about 142.5685727215.

The spelling of 2897820 in words is "two million, eight hundred ninety-seven thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 947 1020 1530 1894 2841 3060 3788 4735 5682 8523 9470 11364 14205 16099 17046 18940 28410 32198 34092 42615 48297 56820 64396 80495 85230 96594 144891 160990 170460 193188 241485 289782 321980 482970 579564 724455 965940 1448910 2897820