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141995920 = 24511214669
BaseRepresentation
bin10000111011010…
…10111110010000
3100220012010210011
420131222332100
5242322332140
622031244304
73342642163
oct1035527620
9326163704
10141995920
1173175700
123b679694
1323558971
1414c03ada
15c6eccea
hex876af90

141995920 has 60 divisors (see below), whose sum is σ = 362906460. Its totient is φ = 51631360.

The previous prime is 141995891. The next prime is 141995929. The reversal of 141995920 is 29599141.

141995920 = T360 + T361 + ... + T964.

141995920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 71368704 + 70627216 = 8448^2 + 8404^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (141995929) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2346 + ... + 17014.

It is an arithmetic number, because the mean of its divisors is an integer number (6048441).

Almost surely, 2141995920 is an apocalyptic number.

141995920 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 141995920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181453230).

141995920 is an abundant number, since it is smaller than the sum of its proper divisors (220910540).

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

141995920 is a wasteful number, since it uses less digits than its factorization.

141995920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14704 (or 14687 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 40.

The square root of 141995920 is about 11916.2040935862. The cubic root of 141995920 is about 521.7053479173.

The spelling of 141995920 in words is "one hundred forty-one million, nine hundred ninety-five thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 121 176 220 242 440 484 605 880 968 1210 1936 2420 4840 9680 14669 29338 58676 73345 117352 146690 161359 234704 293380 322718 586760 645436 806795 1173520 1290872 1613590 1774949 2581744 3227180 3549898 6454360 7099796 8874745 12908720 14199592 17749490 28399184 35498980 70997960 141995920