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141379830 = 235573797
BaseRepresentation
bin10000110110101…
…00100011110110
3100212000211200000
420123110203312
5242143123310
622010132130
73334465044
oct1033244366
9325024600
10141379830
1172894839
123b421046
13233a1407
1414ac3394
15c62a4c0
hex86d48f6

141379830 has 96 divisors (see below), whose sum is σ = 386908704. Its totient is φ = 37138176.

The previous prime is 141379813. The next prime is 141379831. The reversal of 141379830 is 38973141.

It is a happy number.

141379830 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141379831) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 176992 + ... + 177788.

It is an arithmetic number, because the mean of its divisors is an integer number (4030299).

Almost surely, 2141379830 is an apocalyptic number.

141379830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 141379830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193454352).

141379830 is an abundant number, since it is smaller than the sum of its proper divisors (245528874).

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

141379830 is an equidigital number, since it uses as much as digits as its factorization.

141379830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 141379830 is about 11890.3250586349. The cubic root of 141379830 is about 520.9497313112.

The spelling of 141379830 in words is "one hundred forty-one million, three hundred seventy-nine thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 73 81 90 135 146 162 219 243 270 365 405 438 486 657 730 797 810 1095 1215 1314 1594 1971 2190 2391 2430 3285 3942 3985 4782 5913 6570 7173 7970 9855 11826 11955 14346 17739 19710 21519 23910 29565 35478 35865 43038 58181 59130 64557 71730 88695 107595 116362 129114 174543 177390 193671 215190 290905 322785 349086 387342 523629 581810 645570 872715 968355 1047258 1570887 1745430 1936710 2618145 3141774 4712661 5236290 7854435 9425322 14137983 15708870 23563305 28275966 47126610 70689915 141379830