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675181320 = 2335114710883
BaseRepresentation
bin101000001111100…
…111001100001000
31202001110202122120
4220033213030020
52340321300240
6150555251240
722505642442
oct5017471410
91661422576
10675181320
113171387a0
1216a149b20
13a9b5c898
1465957492
153e41dad0
hex283e7308

675181320 has 128 divisors (see below), whose sum is σ = 2256906240. Its totient is φ = 160183040.

The previous prime is 675181319. The next prime is 675181349. The reversal of 675181320 is 23181576.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56599 + ... + 67481.

It is an arithmetic number, because the mean of its divisors is an integer number (17632080).

Almost surely, 2675181320 is an apocalyptic number.

675181320 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 675181320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1128453120).

675181320 is an abundant number, since it is smaller than the sum of its proper divisors (1581724920).

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

675181320 is a wasteful number, since it uses less digits than its factorization.

675181320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10955 (or 10951 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 675181320 is about 25984.2513842520. The cubic root of 675181320 is about 877.2838600461.

The spelling of 675181320 in words is "six hundred seventy-five million, one hundred eighty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 47 55 60 66 88 94 110 120 132 141 165 188 220 235 264 282 330 376 440 470 517 564 660 705 940 1034 1128 1320 1410 1551 1880 2068 2585 2820 3102 4136 5170 5640 6204 7755 10340 10883 12408 15510 20680 21766 31020 32649 43532 54415 62040 65298 87064 108830 119713 130596 163245 217660 239426 261192 326490 359139 435320 478852 511501 598565 652980 718278 957704 1023002 1197130 1305960 1436556 1534503 1795695 2046004 2394260 2557505 2873112 3069006 3591390 4092008 4788520 5115010 5626511 6138012 7182780 7672515 10230020 11253022 12276024 14365560 15345030 16879533 20460040 22506044 28132555 30690060 33759066 45012088 56265110 61380120 67518132 84397665 112530220 135036264 168795330 225060440 337590660 675181320