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142272720 = 2433565867
BaseRepresentation
bin10000111101011…
…10100011010000
3100220201012111000
420132232203100
5242410211340
622041222000
73345204162
oct1036564320
9326635430
10142272720
1173344667
123b791900
1323624955
1414c76932
15c754d30
hex87ae8d0

142272720 has 80 divisors (see below), whose sum is σ = 490057920. Its totient is φ = 37938816.

The previous prime is 142272709. The next prime is 142272749. The reversal of 142272720 is 27272241.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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, 30774 + ... + 35093.

It is an arithmetic number, because the mean of its divisors is an integer number (6125724).

Almost surely, 2142272720 is an apocalyptic number.

142272720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142272720 is an abundant number, since it is smaller than the sum of its proper divisors (347785200).

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

142272720 is a wasteful number, since it uses less digits than its factorization.

142272720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65889 (or 65877 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 142272720 is about 11927.8128757958. The cubic root of 142272720 is about 522.0441236318.

The spelling of 142272720 in words is "one hundred forty-two million, two hundred seventy-two thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 65867 131734 197601 263468 329335 395202 526936 592803 658670 790404 988005 1053872 1185606 1317340 1580808 1778409 1976010 2371212 2634680 2964015 3161616 3556818 3952020 4742424 5269360 5928030 7113636 7904040 8892045 9484848 11856060 14227272 15808080 17784090 23712120 28454544 35568180 47424240 71136360 142272720