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142199790 = 235311071429
BaseRepresentation
bin10000111100111…
…00101111101110
3100220120111102220
420132130233232
5242400343130
622035500210
73344451435
oct1036345756
9326514386
10142199790
11732a4897
123b757666
13235ca6b5
1414c5811c
15c73d410
hex879cbee

142199790 has 64 divisors (see below), whose sum is σ = 355829760. Its totient is φ = 36328320.

The previous prime is 142199779. The next prime is 142199807. The reversal of 142199790 is 97991241.

142199790 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98796 + ... + 100224.

It is an arithmetic number, because the mean of its divisors is an integer number (5559840).

Almost surely, 2142199790 is an apocalyptic number.

142199790 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 142199790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177914880).

142199790 is an abundant number, since it is smaller than the sum of its proper divisors (213629970).

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

142199790 is a wasteful number, since it uses less digits than its factorization.

142199790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1577.

The product of its (nonzero) digits is 40824, while the sum is 42.

The square root of 142199790 is about 11924.7553434022. The cubic root of 142199790 is about 521.9549072188.

The spelling of 142199790 in words is "one hundred forty-two million, one hundred ninety-nine thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 107 155 186 214 310 321 465 535 642 930 1070 1429 1605 2858 3210 3317 4287 6634 7145 8574 9951 14290 16585 19902 21435 33170 42870 44299 49755 88598 99510 132897 152903 221495 265794 305806 442990 458709 664485 764515 917418 1328970 1529030 2293545 4587090 4739993 9479986 14219979 23699965 28439958 47399930 71099895 142199790