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141480920 = 23574391151
BaseRepresentation
bin10000110111011…
…01001111011000
3100212012222100002
420123231033120
5242204342140
622012232132
73335365550
oct1033551730
9325188302
10141480920
1172953789
123b46b648
1323408429
1414b0c160
15c64a415
hex86ed3d8

141480920 has 64 divisors (see below), whose sum is σ = 364953600. Its totient is φ = 48355200.

The previous prime is 141480893. The next prime is 141480923. The reversal of 141480920 is 29084141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141480923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122345 + ... + 123495.

It is an arithmetic number, because the mean of its divisors is an integer number (5702400).

Almost surely, 2141480920 is an apocalyptic number.

141480920 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 141480920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182476800).

141480920 is an abundant number, since it is smaller than the sum of its proper divisors (223472680).

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

141480920 is a wasteful number, since it uses less digits than its factorization.

141480920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1608 (or 1604 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 141480920 is about 11894.5752341141. The cubic root of 141480920 is about 521.0738656180.

The spelling of 141480920 in words is "one hundred forty-one million, four hundred eighty thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 439 878 1151 1756 2195 2302 3073 3512 4390 4604 5755 6146 8057 8780 9208 11510 12292 15365 16114 17560 23020 24584 30730 32228 40285 46040 61460 64456 80570 122920 161140 322280 505289 1010578 2021156 2526445 3537023 4042312 5052890 7074046 10105780 14148092 17685115 20211560 28296184 35370230 70740460 141480920