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172678020 = 223523157797
BaseRepresentation
bin10100100101011…
…01101110000100
3110000220221201020
422102231232010
5323201144040
625045031140
74164511314
oct1222555604
9400827636
10172678020
1189521609
12499b54b0
1329a0c258
1418d0d444
151025dcd0
hexa4adb84

172678020 has 96 divisors (see below), whose sum is σ = 508370688. Its totient is φ = 43709952.

The previous prime is 172677979. The next prime is 172678021. The reversal of 172678020 is 20876271.

It is a super-2 number, since 2×1726780202 = 59635397182240800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (172678021) by changing a digit.

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, 216262 + ... + 217058.

It is an arithmetic number, because the mean of its divisors is an integer number (5295528).

Almost surely, 2172678020 is an apocalyptic number.

172678020 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 172678020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254185344).

172678020 is an abundant number, since it is smaller than the sum of its proper divisors (335692668).

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

172678020 is a wasteful number, since it uses less digits than its factorization.

172678020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 989 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 172678020 is about 13140.7008945490. The cubic root of 172678020 is about 556.8595687648.

The spelling of 172678020 in words is "one hundred seventy-two million, six hundred seventy-eight thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 157 230 276 314 345 460 471 628 690 785 797 942 1380 1570 1594 1884 2355 2391 3140 3188 3611 3985 4710 4782 7222 7970 9420 9564 10833 11955 14444 15940 18055 18331 21666 23910 36110 36662 43332 47820 54165 54993 72220 73324 91655 108330 109986 125129 183310 216660 219972 250258 274965 366620 375387 500516 549930 625645 750774 1099860 1251290 1501548 1876935 2502580 2877967 3753870 5755934 7507740 8633901 11511868 14389835 17267802 28779670 34535604 43169505 57559340 86339010 172678020