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141775540 = 2254124217
BaseRepresentation
bin10000111001101…
…01001010110100
3100212202221110221
420130311022310
5242243304130
622022424124
73341033524
oct1034651264
9325687427
10141775540
1173035075
123b592044
13234ac56a
1414b87684
15c6a787a
hex87352b4

141775540 has 36 divisors (see below), whose sum is σ = 305239788. Its totient is φ = 55313920.

The previous prime is 141775523. The next prime is 141775559. The reversal of 141775540 is 45577141.

It can be written as a sum of positive squares in 6 ways, for example, as 22791076 + 118984464 = 4774^2 + 10908^2 .

It is a junction number, because it is equal to n+sod(n) for n = 141775496 and 141775505.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 31512 + ... + 35728.

It is an arithmetic number, because the mean of its divisors is an integer number (8478883).

Almost surely, 2141775540 is an apocalyptic number.

141775540 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 141775540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152619894).

141775540 is an abundant number, since it is smaller than the sum of its proper divisors (163464248).

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

141775540 is a wasteful number, since it uses less digits than its factorization.

141775540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4308 (or 4265 counting only the distinct ones).

The product of its (nonzero) digits is 19600, while the sum is 34.

The square root of 141775540 is about 11906.9534306639. The cubic root of 141775540 is about 521.4353097450.

The spelling of 141775540 in words is "one hundred forty-one million, seven hundred seventy-five thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 1681 3362 4217 6724 8405 8434 16810 16868 21085 33620 42170 84340 172897 345794 691588 864485 1728970 3457940 7088777 14177554 28355108 35443885 70887770 141775540