Search a number
-
+
1642080 = 253511311
BaseRepresentation
bin110010000111001100000
310002102111210
412100321200
5410021310
655110120
716646256
oct6207140
93072453
101642080
11a217a0
12672340
1345655b
1430a5d6
15226820
hex190e60

1642080 has 96 divisors (see below), whose sum is σ = 5660928. Its totient is φ = 396800.

The previous prime is 1642079. The next prime is 1642093. The reversal of 1642080 is 802461.

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

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, 5125 + ... + 5435.

It is an arithmetic number, because the mean of its divisors is an integer number (58968).

21642080 is an apocalyptic number.

1642080 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 1642080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2830464).

1642080 is an abundant number, since it is smaller than the sum of its proper divisors (4018848).

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

1642080 is a wasteful number, since it uses less digits than its factorization.

1642080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 1642080 is about 1281.4366937153. The cubic root of 1642080 is about 117.9772052110.

The spelling of 1642080 in words is "one million, six hundred forty-two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 311 330 352 440 480 528 622 660 880 933 1056 1244 1320 1555 1760 1866 2488 2640 3110 3421 3732 4665 4976 5280 6220 6842 7464 9330 9952 10263 12440 13684 14928 17105 18660 20526 24880 27368 29856 34210 37320 41052 49760 51315 54736 68420 74640 82104 102630 109472 136840 149280 164208 205260 273680 328416 410520 547360 821040 1642080