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2140080 = 243537241
BaseRepresentation
bin1000001010011110110000
311000201122020
420022132300
51021440310
6113511440
724122205
oct10123660
94021566
102140080
111231968
12872580
1359c127
143d9cac
152c4170
hex20a7b0

2140080 has 80 divisors (see below), whose sum is σ = 6841824. Its totient is φ = 552960.

The previous prime is 2140069. The next prime is 2140091. The reversal of 2140080 is 800412.

It is an interprime number because it is at equal distance from previous prime (2140069) and next prime (2140091).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 8760 + ... + 9000.

22140080 is an apocalyptic number.

2140080 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 2140080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3420912).

2140080 is an abundant number, since it is smaller than the sum of its proper divisors (4701744).

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

2140080 is a wasteful number, since it uses less digits than its factorization.

2140080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 2140080 is about 1462.9012270143. The cubic root of 2140080 is about 128.8674800395.

Adding to 2140080 its reverse (800412), we get a palindrome (2940492).

The spelling of 2140080 in words is "two million, one hundred forty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 48 60 74 80 111 120 148 185 222 240 241 296 370 444 482 555 592 723 740 888 964 1110 1205 1446 1480 1776 1928 2220 2410 2892 2960 3615 3856 4440 4820 5784 7230 8880 8917 9640 11568 14460 17834 19280 26751 28920 35668 44585 53502 57840 71336 89170 107004 133755 142672 178340 214008 267510 356680 428016 535020 713360 1070040 2140080