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125848020 = 2235191011093
BaseRepresentation
bin1111000000001…
…00100111010100
322202210202000210
413200010213110
5224204114040
620253205420
73055455564
oct740044724
9282722023
10125848020
1165046531
1236190870
13200c39ac
14129dcda4
15b0ad480
hex78049d4

125848020 has 96 divisors (see below), whose sum is σ = 374935680. Its totient is φ = 31449600.

The previous prime is 125848013. The next prime is 125848067. The reversal of 125848020 is 20848521.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114594 + ... + 115686.

It is an arithmetic number, because the mean of its divisors is an integer number (3905580).

Almost surely, 2125848020 is an apocalyptic number.

125848020 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 125848020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187467840).

125848020 is an abundant number, since it is smaller than the sum of its proper divisors (249087660).

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

125848020 is a wasteful number, since it uses less digits than its factorization.

125848020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1225 (or 1223 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 125848020 is about 11218.2003904370. The cubic root of 125848020 is about 501.1281459922.

The spelling of 125848020 in words is "one hundred twenty-five million, eight hundred forty-eight thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 101 114 190 202 228 285 303 380 404 505 570 606 1010 1093 1140 1212 1515 1919 2020 2186 3030 3279 3838 4372 5465 5757 6060 6558 7676 9595 10930 11514 13116 16395 19190 20767 21860 23028 28785 32790 38380 41534 57570 62301 65580 83068 103835 110393 115140 124602 207670 220786 249204 311505 331179 415340 441572 551965 623010 662358 1103930 1246020 1324716 1655895 2097467 2207860 3311790 4194934 6292401 6623580 8389868 10487335 12584802 20974670 25169604 31462005 41949340 62924010 125848020