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141775920 = 24365111317
BaseRepresentation
bin10000111001101…
…01010000110000
3100212202222000000
420130311100300
5242243312140
622022430000
73341034606
oct1034652060
9325688000
10141775920
1173035390
123b592300
13234ac7a0
1414b87876
15c6a7a30
hex8735430

141775920 has 560 divisors, whose sum is σ = 614773152. Its totient is φ = 29859840.

The previous prime is 141775889. The next prime is 141775943. The reversal of 141775920 is 29577141.

It is a happy number.

It is a super-2 number, since 2×1417759202 = 40200822983692800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 8339752 + ... + 8339768.

Almost surely, 2141775920 is an apocalyptic number.

141775920 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 141775920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307386576).

141775920 is an abundant number, since it is smaller than the sum of its proper divisors (472997232).

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

141775920 is a wasteful number, since it uses less digits than its factorization.

141775920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The square root of 141775920 is about 11906.9693877158. The cubic root of 141775920 is about 521.4357756111.

The spelling of 141775920 in words is "one hundred forty-one million, seven hundred seventy-five thousand, nine hundred twenty".