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142035216 = 243712587
BaseRepresentation
bin10000111011101…
…00100100010000
3100220021010200120
420131310210100
5242330111331
622032150240
73343164561
oct1035644420
9326233616
10142035216
11731a2184
123b698380
132357080b
1414c14168
15c709796
hex8774910

142035216 has 60 divisors (see below), whose sum is σ = 372799056. Its totient is φ = 46598720.

The previous prime is 142035197. The next prime is 142035217. The reversal of 142035216 is 612530241.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (142035217) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 241675 + ... + 242261.

Almost surely, 2142035216 is an apocalyptic number.

142035216 is a gapful number since it is divisible by the number (16) 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 142035216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186399528).

142035216 is an abundant number, since it is smaller than the sum of its proper divisors (230763840).

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

142035216 is an equidigital number, since it uses as much as digits as its factorization.

142035216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 142035216 is about 11917.8528267469. The cubic root of 142035216 is about 521.7534691180.

Adding to 142035216 its reverse (612530241), we get a palindrome (754565457).

The spelling of 142035216 in words is "one hundred forty-two million, thirty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 48 71 142 213 284 426 568 587 852 1136 1174 1704 1761 2348 3408 3522 4696 5041 7044 9392 10082 14088 15123 20164 28176 30246 40328 41677 60492 80656 83354 120984 125031 166708 241968 250062 333416 500124 666832 1000248 2000496 2959067 5918134 8877201 11836268 17754402 23672536 35508804 47345072 71017608 142035216