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1661440 = 2951159
BaseRepresentation
bin110010101101000000000
310010102001211
412111220000
5411131230
655335504
720056564
oct6255000
93112054
101661440
11a352a0
12681594
13462301
143136a4
1522c42a
hex195a00

1661440 has 80 divisors (see below), whose sum is σ = 4419360. Its totient is φ = 593920.

The previous prime is 1661437. The next prime is 1661441. The reversal of 1661440 is 441661.

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 (22).

It is not an unprimeable number, because it can be changed into a prime (1661441) 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 7 ways as a sum of consecutive naturals, for example, 28131 + ... + 28189.

It is an arithmetic number, because the mean of its divisors is an integer number (55242).

21661440 is an apocalyptic number.

1661440 is a gapful number since it is divisible by the number (10) 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 1661440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2209680).

1661440 is an abundant number, since it is smaller than the sum of its proper divisors (2757920).

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

1661440 is an equidigital number, since it uses as much as digits as its factorization.

1661440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 1661440 is about 1288.9685799119. The cubic root of 1661440 is about 118.4390423958.

The spelling of 1661440 in words is "one million, six hundred sixty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 59 64 80 88 110 118 128 160 176 220 236 256 295 320 352 440 472 512 590 640 649 704 880 944 1180 1280 1298 1408 1760 1888 2360 2560 2596 2816 3245 3520 3776 4720 5192 5632 6490 7040 7552 9440 10384 12980 14080 15104 18880 20768 25960 28160 30208 37760 41536 51920 75520 83072 103840 151040 166144 207680 332288 415360 830720 1661440