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141045120 = 2732547521
BaseRepresentation
bin10000110100000…
…10110110000000
3100211101211112100
420122002312000
5242101420440
621555030400
73331602156
oct1032026600
9324354470
10141045120
1172686317
123b29b400
13232b4c68
1414a373d6
15c5b1230
hex8682d80

141045120 has 192 divisors, whose sum is σ = 498363840. Its totient is φ = 36741120.

The previous prime is 141045109. The next prime is 141045139. The reversal of 141045120 is 21540141.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 141045093 and 141045102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 270460 + ... + 270980.

It is an arithmetic number, because the mean of its divisors is an integer number (2595645).

Almost surely, 2141045120 is an apocalyptic number.

141045120 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 141045120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249181920).

141045120 is an abundant number, since it is smaller than the sum of its proper divisors (357318720).

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

141045120 is a wasteful number, since it uses less digits than its factorization.

141045120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 141045120 is about 11876.2418298046. The cubic root of 141045120 is about 520.5382985824.

Adding to 141045120 its reverse (21540141), we get a palindrome (162585261).

The spelling of 141045120 in words is "one hundred forty-one million, forty-five thousand, one hundred twenty".