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141881920 = 2652915289
BaseRepresentation
bin10000111010011…
…11001001000000
3100212222100101221
420131033021000
5242310210140
622025004424
73341655625
oct1035171100
9325870357
10141881920
11730a7a94
123b623714
1323518acb
1414bb434c
15c6c914a
hex874f240

141881920 has 56 divisors (see below), whose sum is σ = 349529400. Its totient is φ = 54792192.

The previous prime is 141881879. The next prime is 141881923. The reversal of 141881920 is 29188141.

It can be written as a sum of positive squares in 4 ways, for example, as 21233664 + 120648256 = 4608^2 + 10984^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141881923) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1636 + ... + 16924.

Almost surely, 2141881920 is an apocalyptic number.

141881920 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 141881920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174764700).

141881920 is an abundant number, since it is smaller than the sum of its proper divisors (207647480).

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

141881920 is a wasteful number, since it uses less digits than its factorization.

141881920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15335 (or 15325 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 34.

The square root of 141881920 is about 11911.4197306618. The cubic root of 141881920 is about 521.5656952359.

It can be divided in two parts, 1418 and 81920, that added together give a palindrome (83338).

The spelling of 141881920 in words is "one hundred forty-one million, eight hundred eighty-one thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 145 160 232 290 320 464 580 928 1160 1856 2320 4640 9280 15289 30578 61156 76445 122312 152890 244624 305780 443381 489248 611560 886762 978496 1223120 1773524 2216905 2446240 3547048 4433810 4892480 7094096 8867620 14188192 17735240 28376384 35470480 70940960 141881920