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142635328 = 2611232383
BaseRepresentation
bin10001000000001…
…11000101000000
3100221101121212221
420200013011000
5243003312303
622053100424
73351244303
oct1040070500
9327347787
10142635328
1173572040
123b927714
1323720a04
1414d2cb3a
15c7c74bd
hex8807140

142635328 has 84 divisors (see below), whose sum is σ = 323624448. Its totient is φ = 61853440.

The previous prime is 142635313. The next prime is 142635347. The reversal of 142635328 is 823536241.

It is a junction number, because it is equal to n+sod(n) for n = 142635293 and 142635302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 372225 + ... + 372607.

It is an arithmetic number, because the mean of its divisors is an integer number (3852672).

Almost surely, 2142635328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142635328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161812224).

142635328 is an abundant number, since it is smaller than the sum of its proper divisors (180989120).

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

142635328 is a wasteful number, since it uses less digits than its factorization.

142635328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 419 counting only the distinct ones).

The product of its digits is 34560, while the sum is 34.

The square root of 142635328 is about 11943.0033073762. The cubic root of 142635328 is about 522.4872556280.

It can be divided in two parts, 14263 and 5328, that added together give a palindrome (19591).

The spelling of 142635328 in words is "one hundred forty-two million, six hundred thirty-five thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 64 88 92 176 184 253 352 368 383 506 529 704 736 766 1012 1058 1472 1532 2024 2116 3064 4048 4213 4232 5819 6128 8096 8426 8464 8809 11638 12256 16192 16852 16928 17618 23276 24512 33704 33856 35236 46552 67408 70472 93104 96899 134816 140944 186208 193798 202607 269632 281888 372416 387596 405214 563776 775192 810428 1550384 1620856 2228677 3100768 3241712 4457354 6201536 6483424 8914708 12966848 17829416 35658832 71317664 142635328