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141928200 = 2334528761
BaseRepresentation
bin10000111010110…
…10011100001000
3100220001200220000
420131122130020
5242313200300
622030003000
73342240561
oct1035323410
9326050800
10141928200
1173129837
123b646460
1323533bab
1414bc7168
15c6d7c00
hex875a708

141928200 has 120 divisors (see below), whose sum is σ = 492993930. Its totient is φ = 37843200.

The previous prime is 141928187. The next prime is 141928229. The reversal of 141928200 is 2829141.

It can be written as a sum of positive squares in 3 ways, for example, as 71267364 + 70660836 = 8442^2 + 8406^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×1419282002 = 40287227910480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 11820 + ... + 20580.

Almost surely, 2141928200 is an apocalyptic number.

141928200 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 141928200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246496965).

141928200 is an abundant number, since it is smaller than the sum of its proper divisors (351065730).

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

141928200 is a wasteful number, since it uses less digits than its factorization.

141928200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8789 (or 8771 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 141928200 is about 11913.3622458146. The cubic root of 141928200 is about 521.6223983412.

The spelling of 141928200 in words is "one hundred forty-one million, nine hundred twenty-eight thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 81 90 100 108 120 135 150 162 180 200 216 225 270 300 324 360 405 450 540 600 648 675 810 900 1080 1350 1620 1800 2025 2700 3240 4050 5400 8100 8761 16200 17522 26283 35044 43805 52566 70088 78849 87610 105132 131415 157698 175220 210264 219025 236547 262830 315396 350440 394245 438050 473094 525660 630792 657075 709641 788490 876100 946188 1051320 1182735 1314150 1419282 1576980 1752200 1892376 1971225 2365470 2628300 2838564 3153960 3548205 3942450 4730940 5256600 5677128 5913675 7096410 7884900 9461880 11827350 14192820 15769800 17741025 23654700 28385640 35482050 47309400 70964100 141928200