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669968280 = 233353120011
BaseRepresentation
bin100111111011101…
…110011110011000
31201200122220201000
4213323232132120
52333002441110
6150251425000
722413431202
oct4773563630
91650586630
10669968280
113141a80a3
12168455160
13a8a55b47
1464d9b772
153dc3e1c0
hex27eee798

669968280 has 128 divisors (see below), whose sum is σ = 2305382400. Its totient is φ = 172886400.

The previous prime is 669968279. The next prime is 669968333. The reversal of 669968280 is 82869966.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23475 + ... + 43485.

It is an arithmetic number, because the mean of its divisors is an integer number (18010800).

Almost surely, 2669968280 is an apocalyptic number.

669968280 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 669968280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1152691200).

669968280 is an abundant number, since it is smaller than the sum of its proper divisors (1635414120).

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

669968280 is a wasteful number, since it uses less digits than its factorization.

669968280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20062 (or 20052 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The square root of 669968280 is about 25883.7454785817. The cubic root of 669968280 is about 875.0202030709.

The spelling of 669968280 in words is "six hundred sixty-nine million, nine hundred sixty-eight thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 31 36 40 45 54 60 62 72 90 93 108 120 124 135 155 180 186 216 248 270 279 310 360 372 465 540 558 620 744 837 930 1080 1116 1240 1395 1674 1860 2232 2790 3348 3720 4185 5580 6696 8370 11160 16740 20011 33480 40022 60033 80044 100055 120066 160088 180099 200110 240132 300165 360198 400220 480264 540297 600330 620341 720396 800440 900495 1080594 1200660 1240682 1440792 1800990 1861023 2161188 2401320 2481364 2701485 3101705 3601980 3722046 4322376 4962728 5402970 5583069 6203410 7203960 7444092 9305115 10805940 11166138 12406820 14888184 16749207 18610230 21611880 22332276 24813640 27915345 33498414 37220460 44664552 55830690 66996828 74440920 83746035 111661380 133993656 167492070 223322760 334984140 669968280