Search a number
-
+
1668480 = 27351179
BaseRepresentation
bin110010111010110000000
310010202201120
412113112000
5411342410
655432240
720116242
oct6272600
93122646
101668480
11a3a610
12685680
13465588
14316092
1522e570
hex197580

1668480 has 128 divisors (see below), whose sum is σ = 5875200. Its totient is φ = 399360.

The previous prime is 1668479. The next prime is 1668481. The reversal of 1668480 is 848661.

It is an interprime number because it is at equal distance from previous prime (1668479) and next prime (1668481).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1668481) 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, 21081 + ... + 21159.

It is an arithmetic number, because the mean of its divisors is an integer number (45900).

21668480 is an apocalyptic number.

1668480 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 1668480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2937600).

1668480 is an abundant number, since it is smaller than the sum of its proper divisors (4206720).

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

1668480 is a wasteful number, since it uses less digits than its factorization.

1668480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 1668480 is about 1291.6965587939. The cubic root of 1668480 is about 118.6060934528.

It can be divided in two parts, 166 and 8480, that added together give a triangular number (8646 = T131).

The spelling of 1668480 in words is "one million, six hundred sixty-eight thousand, four hundred 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 64 66 79 80 88 96 110 120 128 132 158 160 165 176 192 220 237 240 264 316 320 330 352 384 395 440 474 480 528 632 640 660 704 790 869 880 948 960 1056 1185 1264 1320 1408 1580 1738 1760 1896 1920 2112 2370 2528 2607 2640 3160 3476 3520 3792 4224 4345 4740 5056 5214 5280 6320 6952 7040 7584 8690 9480 10112 10428 10560 12640 13035 13904 15168 17380 18960 20856 21120 25280 26070 27808 30336 34760 37920 41712 50560 52140 55616 69520 75840 83424 104280 111232 139040 151680 166848 208560 278080 333696 417120 556160 834240 1668480