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2127440 = 245729131
BaseRepresentation
bin1000000111011001010000
311000002022002
420013121100
51021034230
6113333132
724040310
oct10073120
94002262
102127440
111223417
128671a8
13596453
143d5440
152c0545
hex207650

2127440 has 80 divisors (see below), whose sum is σ = 5892480. Its totient is φ = 698880.

The previous prime is 2127427. The next prime is 2127443. The reversal of 2127440 is 447212.

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 (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2127443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16175 + ... + 16305.

It is an arithmetic number, because the mean of its divisors is an integer number (73656).

22127440 is an apocalyptic number.

2127440 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 2127440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2946240).

2127440 is an abundant number, since it is smaller than the sum of its proper divisors (3765040).

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

2127440 is a wasteful number, since it uses less digits than its factorization.

2127440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 20.

The square root of 2127440 is about 1458.5746467014. The cubic root of 2127440 is about 128.6132679823.

The spelling of 2127440 in words is "two million, one hundred twenty-seven thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 29 35 40 56 58 70 80 112 116 131 140 145 203 232 262 280 290 406 464 524 560 580 655 812 917 1015 1048 1160 1310 1624 1834 2030 2096 2320 2620 3248 3668 3799 4060 4585 5240 7336 7598 8120 9170 10480 14672 15196 16240 18340 18995 26593 30392 36680 37990 53186 60784 73360 75980 106372 132965 151960 212744 265930 303920 425488 531860 1063720 2127440