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2115820 = 2257217127
BaseRepresentation
bin1000000100100011101100
310222111100201
420010203230
51020201240
6113203244
723661400
oct10044354
93874321
102115820
111215713
12860524
13591085
143d1100
152bbd9a
hex2048ec

2115820 has 72 divisors (see below), whose sum is σ = 5515776. Its totient is φ = 677376.

The previous prime is 2115791. The next prime is 2115823. The reversal of 2115820 is 285112.

It is not an unprimeable number, because it can be changed into a prime (2115823) 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, 16597 + ... + 16723.

It is an arithmetic number, because the mean of its divisors is an integer number (76608).

22115820 is an apocalyptic number.

2115820 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 2115820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2757888).

2115820 is an abundant number, since it is smaller than the sum of its proper divisors (3399956).

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

2115820 is a wasteful number, since it uses less digits than its factorization.

2115820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 19.

The square root of 2115820 is about 1454.5858517118. The cubic root of 2115820 is about 128.3786800262.

The spelling of 2115820 in words is "two million, one hundred fifteen thousand, eight hundred twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 49 68 70 85 98 119 127 140 170 196 238 245 254 340 476 490 508 595 635 833 889 980 1190 1270 1666 1778 2159 2380 2540 3332 3556 4165 4318 4445 6223 8330 8636 8890 10795 12446 15113 16660 17780 21590 24892 30226 31115 43180 60452 62230 75565 105791 124460 151130 211582 302260 423164 528955 1057910 2115820