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2142780 = 223571503
BaseRepresentation
bin1000001011001000111100
311000212100020
420023020330
51022032110
6113532140
724133113
oct10131074
94025306
102142780
1112339a2
12874050
135a0423
143dac7a
152c4d70
hex20b23c

2142780 has 48 divisors (see below), whose sum is σ = 6096384. Its totient is φ = 562240.

The previous prime is 2142773. The next prime is 2142793. The reversal of 2142780 is 872412.

It is a super-2 number, since 2×21427802 = 9183012256800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2142780.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4009 + ... + 4511.

It is an arithmetic number, because the mean of its divisors is an integer number (127008).

22142780 is an apocalyptic number.

2142780 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 2142780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3048192).

2142780 is an abundant number, since it is smaller than the sum of its proper divisors (3953604).

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

2142780 is a wasteful number, since it uses less digits than its factorization.

2142780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 2142780 is about 1463.8237598837. The cubic root of 2142780 is about 128.9216518420.

The spelling of 2142780 in words is "two million, one hundred forty-two thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 71 142 213 284 355 426 503 710 852 1006 1065 1420 1509 2012 2130 2515 3018 4260 5030 6036 7545 10060 15090 30180 35713 71426 107139 142852 178565 214278 357130 428556 535695 714260 1071390 2142780