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141035900 = 2252412839
BaseRepresentation
bin10000110100000…
…00100101111100
3100211101100212212
420122000211330
5242101122100
621554515552
73331533245
oct1032004574
9324340785
10141035900
117267a3a5
123b295bb8
13232b09c5
1414a33ccc
15c5ad635
hex868097c

141035900 has 54 divisors (see below), whose sum is σ = 314068440. Its totient is φ = 54972800.

The previous prime is 141035887. The next prime is 141035929. The reversal of 141035900 is 9530141.

It is a happy number.

It is a super-2 number, since 2×1410359002 = 39782250177620000, which contains 22 as substring.

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 17 ways as a sum of consecutive naturals, for example, 167681 + ... + 168519.

Almost surely, 2141035900 is an apocalyptic number.

141035900 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 141035900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157034220).

141035900 is an abundant number, since it is smaller than the sum of its proper divisors (173032540).

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

141035900 is a wasteful number, since it uses less digits than its factorization.

141035900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 23.

The square root of 141035900 is about 11875.8536535274. The cubic root of 141035900 is about 520.5269559527.

The spelling of 141035900 in words is "one hundred forty-one million, thirty-five thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 410 820 839 1025 1678 1681 2050 3356 3362 4100 4195 6724 8390 8405 16780 16810 20975 33620 34399 41950 42025 68798 83900 84050 137596 168100 171995 343990 687980 859975 1410359 1719950 2820718 3439900 5641436 7051795 14103590 28207180 35258975 70517950 141035900