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668993280 = 2835832099
BaseRepresentation
bin100111111000000…
…000011100000000
31201121211101020220
4213320000130000
52332230241110
6150214503040
722402230504
oct4770003400
91647741226
10668993280
113136a160a
12168064a80
13a87a4117
1464bc6304
153daea370
hex27e00700

668993280 has 144 divisors (see below), whose sum is σ = 2163369600. Its totient is φ = 176164864.

The previous prime is 668993261. The next prime is 668993293. The reversal of 668993280 is 82399866.

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, 317671 + ... + 319769.

It is an arithmetic number, because the mean of its divisors is an integer number (15023400).

Almost surely, 2668993280 is an apocalyptic number.

668993280 is a gapful number since it is divisible by the number (60) 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 668993280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1081684800).

668993280 is an abundant number, since it is smaller than the sum of its proper divisors (1494376320).

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

668993280 is a wasteful number, since it uses less digits than its factorization.

668993280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2206 (or 2192 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 51.

The square root of 668993280 is about 25864.9044073238. The cubic root of 668993280 is about 874.5955268005.

Adding to 668993280 its sum of digits (51), we get a triangular number (668993331 = T36578).

The spelling of 668993280 in words is "six hundred sixty-eight million, nine hundred ninety-three thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 83 96 120 128 160 166 192 240 249 256 320 332 384 415 480 498 640 664 768 830 960 996 1245 1280 1328 1660 1920 1992 2099 2490 2656 3320 3840 3984 4198 4980 5312 6297 6640 7968 8396 9960 10495 10624 12594 13280 15936 16792 19920 20990 21248 25188 26560 31485 31872 33584 39840 41980 50376 53120 62970 63744 67168 79680 83960 100752 106240 125940 134336 159360 167920 174217 201504 251880 268672 318720 335840 348434 403008 503760 522651 537344 671680 696868 806016 871085 1007520 1045302 1343360 1393736 1612032 1742170 2015040 2090604 2613255 2686720 2787472 3484340 4030080 4181208 5226510 5574944 6968680 8060160 8362416 10453020 11149888 13937360 16724832 20906040 22299776 27874720 33449664 41812080 44599552 55749440 66899328 83624160 111498880 133798656 167248320 222997760 334496640 668993280