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142200256 = 26111910631
BaseRepresentation
bin10000111100111…
…00110111000000
3100220120112002011
420132130313000
5242400402011
622035502304
73344453002
oct1036346700
9326515064
10142200256
11732a5180
123b757994
13235ca983
1414c58372
15c73d621
hex879cdc0

142200256 has 56 divisors (see below), whose sum is σ = 324063360. Its totient is φ = 61228800.

The previous prime is 142200241. The next prime is 142200263. The reversal of 142200256 is 652002241.

It is a Harshad number since it is a multiple of its sum of digits (22).

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 7 ways as a sum of consecutive naturals, for example, 8061 + ... + 18691.

Almost surely, 2142200256 is an apocalyptic number.

142200256 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 142200256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162031680).

142200256 is an abundant number, since it is smaller than the sum of its proper divisors (181863104).

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

142200256 is a wasteful number, since it uses less digits than its factorization.

142200256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10673 (or 10663 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 142200256 is about 11924.7748825712. The cubic root of 142200256 is about 521.9554773808.

Adding to 142200256 its reverse (652002241), we get a palindrome (794202497).

The spelling of 142200256 in words is "one hundred forty-two million, two hundred thousand, two hundred fifty-six".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 64 76 88 152 176 209 304 352 418 608 704 836 1216 1672 3344 6688 10631 13376 21262 42524 85048 116941 170096 201989 233882 340192 403978 467764 680384 807956 935528 1615912 1871056 2221879 3231824 3742112 4443758 6463648 7484224 8887516 12927296 17775032 35550064 71100128 142200256