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142105960 = 23523831861
BaseRepresentation
bin10000111100001…
…01110101101000
3100220101201201201
420132011311220
5242334342320
622033453544
73343611043
oct1036056550
9326351651
10142105960
1173240347
123b7112b4
1323596a89
1414c31c5a
15c72070a
hex8785d68

142105960 has 64 divisors (see below), whose sum is σ = 337841280. Its totient is φ = 53687040.

The previous prime is 142105939. The next prime is 142105967. The reversal of 142105960 is 69501241.

It is not an unprimeable number, because it can be changed into a prime (142105967) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 75430 + ... + 77290.

It is an arithmetic number, because the mean of its divisors is an integer number (5278770).

Almost surely, 2142105960 is an apocalyptic number.

142105960 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 142105960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168920640).

142105960 is an abundant number, since it is smaller than the sum of its proper divisors (195735320).

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

142105960 is a wasteful number, since it uses less digits than its factorization.

142105960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1978 (or 1974 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 142105960 is about 11920.8204415636. The cubic root of 142105960 is about 521.8400786271.

The spelling of 142105960 in words is "one hundred forty-two million, one hundred five thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 20 23 40 46 83 92 115 166 184 230 332 415 460 664 830 920 1660 1861 1909 3320 3722 3818 7444 7636 9305 9545 14888 15272 18610 19090 37220 38180 42803 74440 76360 85606 154463 171212 214015 308926 342424 428030 617852 772315 856060 1235704 1544630 1712120 3089260 3552649 6178520 7105298 14210596 17763245 28421192 35526490 71052980 142105960