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2141040 = 243511811
BaseRepresentation
bin1000001010101101110000
311000202221210
420022231300
51022003130
6113520120
724125046
oct10125560
94022853
102141040
111232660
12873040
1359c6b5
143da396
152c45b0
hex20ab70

2141040 has 80 divisors (see below), whose sum is σ = 7249536. Its totient is φ = 518400.

The previous prime is 2141033. The next prime is 2141057. The reversal of 2141040 is 401412.

2141040 = 2432 + 2442 + ... + 2742.

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 (12).

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, 2235 + ... + 3045.

22141040 is an apocalyptic number.

2141040 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 2141040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3624768).

2141040 is an abundant number, since it is smaller than the sum of its proper divisors (5108496).

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

2141040 is a wasteful number, since it uses less digits than its factorization.

2141040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2141040 is about 1463.2293053380. The cubic root of 2141040 is about 128.8867463422.

Adding to 2141040 its reverse (401412), we get a palindrome (2542452).

The spelling of 2141040 in words is "two million, one hundred forty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 811 880 1320 1622 2433 2640 3244 4055 4866 6488 8110 8921 9732 12165 12976 16220 17842 19464 24330 26763 32440 35684 38928 44605 48660 53526 64880 71368 89210 97320 107052 133815 142736 178420 194640 214104 267630 356840 428208 535260 713680 1070520 2141040