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141868300 = 22527389521
BaseRepresentation
bin10000111010010…
…11110100001100
3100212221122201111
420131023310030
5242304241200
622024421404
73341601130
oct1035136414
9325848644
10141868300
1173098832
123b617864
1323512852
1414bad3c0
15c6c50ba
hex874bd0c

141868300 has 72 divisors (see below), whose sum is σ = 353414880. Its totient is φ = 48422400.

The previous prime is 141868297. The next prime is 141868313. The reversal of 141868300 is 3868141.

It is a super-2 number, since 2×1418683002 = 40253229089780000, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 272040 + ... + 272560.

It is an arithmetic number, because the mean of its divisors is an integer number (4908540).

Almost surely, 2141868300 is an apocalyptic number.

141868300 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 141868300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176707440).

141868300 is an abundant number, since it is smaller than the sum of its proper divisors (211546580).

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

141868300 is a wasteful number, since it uses less digits than its factorization.

141868300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 931 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 141868300 is about 11910.8479966793. The cubic root of 141868300 is about 521.5490054137.

The spelling of 141868300 in words is "one hundred forty-one million, eight hundred sixty-eight thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 389 521 700 778 1042 1556 1945 2084 2605 2723 3647 3890 5210 5446 7294 7780 9725 10420 10892 13025 13615 14588 18235 19450 26050 27230 36470 38900 52100 54460 68075 72940 91175 136150 182350 202669 272300 364700 405338 810676 1013345 1418683 2026690 2837366 4053380 5066725 5674732 7093415 10133450 14186830 20266900 28373660 35467075 70934150 141868300