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2027040 = 253541103
BaseRepresentation
bin111101110111000100000
310210222120120
413232320200
51004331130
6111240240
723141511
oct7567040
93728516
102027040
111164a44
12819080
1355c842
143aaa08
152a0910
hex1eee20

2027040 has 96 divisors (see below), whose sum is σ = 6604416. Its totient is φ = 522240.

The previous prime is 2027033. The next prime is 2027057. The reversal of 2027040 is 407202.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19629 + ... + 19731.

It is an arithmetic number, because the mean of its divisors is an integer number (68796).

22027040 is an apocalyptic number.

2027040 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 2027040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3302208).

2027040 is an abundant number, since it is smaller than the sum of its proper divisors (4577376).

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

2027040 is a wasteful number, since it uses less digits than its factorization.

2027040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 15.

The square root of 2027040 is about 1423.7415495798. The cubic root of 2027040 is about 126.5573695527.

The spelling of 2027040 in words is "two million, twenty-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 41 48 60 80 82 96 103 120 123 160 164 205 206 240 246 309 328 410 412 480 492 515 615 618 656 820 824 984 1030 1230 1236 1312 1545 1640 1648 1968 2060 2460 2472 3090 3280 3296 3936 4120 4223 4920 4944 6180 6560 8240 8446 9840 9888 12360 12669 16480 16892 19680 21115 24720 25338 33784 42230 49440 50676 63345 67568 84460 101352 126690 135136 168920 202704 253380 337840 405408 506760 675680 1013520 2027040