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141800868 = 22341123617
BaseRepresentation
bin10000111001110…
…11010110100100
3100212211020020000
420130323112210
5242300111433
622023141300
73341200416
oct1034732644
9325736200
10141800868
1173052100
123b5a4830
13234bac51
1414b929b6
15c6b0113
hex873b5a4

141800868 has 90 divisors (see below), whose sum is σ = 407571318. Its totient is φ = 42958080.

The previous prime is 141800863. The next prime is 141800881. The reversal of 141800868 is 868008141.

141800868 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 75898944 + 65901924 = 8712^2 + 8118^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (141800863) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 37396 + ... + 41012.

Almost surely, 2141800868 is an apocalyptic number.

141800868 is a gapful number since it is divisible by the number (18) 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 141800868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203785659).

141800868 is an abundant number, since it is smaller than the sum of its proper divisors (265770450).

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

141800868 is a wasteful number, since it uses less digits than its factorization.

141800868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3655 (or 3633 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 141800868 is about 11908.0169633739. The cubic root of 141800868 is about 521.4663591233.

The spelling of 141800868 in words is "one hundred forty-one million, eight hundred thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 121 132 162 198 242 297 324 363 396 484 594 726 891 1089 1188 1452 1782 2178 3267 3564 3617 4356 6534 7234 9801 10851 13068 14468 19602 21702 32553 39204 39787 43404 65106 79574 97659 119361 130212 159148 195318 238722 292977 358083 390636 437657 477444 585954 716166 875314 1074249 1171908 1312971 1432332 1750628 2148498 2625942 3222747 3938913 4296996 5251884 6445494 7877826 11816739 12890988 15755652 23633478 35450217 47266956 70900434 141800868