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141081930 = 232511314597
BaseRepresentation
bin10000110100010…
…11110101001010
3100211110201000200
420122023311022
5242104110210
621555513030
73332114403
oct1032136512
9324421020
10141081930
1172700a40
123b2b8776
13232c8942
1414a469aa
15c5bc0c0
hex868bd4a

141081930 has 96 divisors (see below), whose sum is σ = 413157888. Its totient is φ = 33091200.

The previous prime is 141081923. The next prime is 141081937. The reversal of 141081930 is 39180141.

It is an interprime number because it is at equal distance from previous prime (141081923) and next prime (141081937).

It is a super-2 number, since 2×1410819302 = 39808221945049800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 141081894 and 141081903.

It is not an unprimeable number, because it can be changed into a prime (141081937) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 28392 + ... + 32988.

It is an arithmetic number, because the mean of its divisors is an integer number (4303728).

Almost surely, 2141081930 is an apocalyptic number.

141081930 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 141081930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206578944).

141081930 is an abundant number, since it is smaller than the sum of its proper divisors (272075958).

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

141081930 is a wasteful number, since it uses less digits than its factorization.

141081930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4652 (or 4649 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 141081930 is about 11877.7914613787. The cubic root of 141081930 is about 520.5835780602.

The spelling of 141081930 in words is "one hundred forty-one million, eighty-one thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 31 33 45 55 62 66 90 93 99 110 155 165 186 198 279 310 330 341 465 495 558 682 930 990 1023 1395 1705 2046 2790 3069 3410 4597 5115 6138 9194 10230 13791 15345 22985 27582 30690 41373 45970 50567 68955 82746 101134 137910 142507 151701 206865 252835 285014 303402 413730 427521 455103 505670 712535 758505 855042 910206 1282563 1425070 1517010 1567577 2137605 2275515 2565126 3135154 4275210 4551030 4702731 6412815 7837885 9405462 12825630 14108193 15675770 23513655 28216386 47027310 70540965 141081930