Search a number
-
+
2127040 = 26517223
BaseRepresentation
bin1000000111010011000000
311000001202021
420013103000
51021031130
6113331224
724036166
oct10072300
94001667
102127040
111223093
12866b14
13596206
143d5236
152c037a
hex2074c0

2127040 has 84 divisors (see below), whose sum is σ = 5614416. Its totient is φ = 765952.

The previous prime is 2127029. The next prime is 2127043. The reversal of 2127040 is 407212.

2127040 = 602 + 612 + ... + 1872.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (2127043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 92469 + ... + 92491.

22127040 is an apocalyptic number.

2127040 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 2127040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2807208).

2127040 is an abundant number, since it is smaller than the sum of its proper divisors (3487376).

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

2127040 is a wasteful number, since it uses less digits than its factorization.

2127040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 16.

The square root of 2127040 is about 1458.4375200879. The cubic root of 2127040 is about 128.6052068804.

The spelling of 2127040 in words is "two million, one hundred twenty-seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 23 32 34 40 46 64 68 80 85 92 115 136 160 170 184 230 272 289 320 340 368 391 460 544 578 680 736 782 920 1088 1156 1360 1445 1472 1564 1840 1955 2312 2720 2890 3128 3680 3910 4624 5440 5780 6256 6647 7360 7820 9248 11560 12512 13294 15640 18496 23120 25024 26588 31280 33235 46240 53176 62560 66470 92480 106352 125120 132940 212704 265880 425408 531760 1063520 2127040