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142577440 = 2552773217
BaseRepresentation
bin10000111111110…
…00111100100000
3100221021200110221
420133320330200
5242444434230
622051532424
73350613445
oct1037707440
9327250427
10142577440
11735325a5
123b8ba114
1323700565
1414d159cc
15c7b527a
hex87f8f20

142577440 has 48 divisors (see below), whose sum is σ = 338160312. Its totient is φ = 56807424.

The previous prime is 142577423. The next prime is 142577467. The reversal of 142577440 is 44775241.

It is a happy number.

142577440 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 120033936 + 22543504 = 10956^2 + 4748^2 .

It is a junction number, because it is equal to n+sod(n) for n = 142577396 and 142577405.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42712 + ... + 45928.

Almost surely, 2142577440 is an apocalyptic number.

142577440 is a gapful number since it is divisible by the number (10) 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 142577440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169080156).

142577440 is an abundant number, since it is smaller than the sum of its proper divisors (195582872).

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

142577440 is a wasteful number, since it uses less digits than its factorization.

142577440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3509 (or 3501 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 34.

The square root of 142577440 is about 11940.5795504238. The cubic root of 142577440 is about 522.4165629151.

The spelling of 142577440 in words is "one hundred forty-two million, five hundred seventy-seven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 277 554 1108 1385 2216 2770 3217 4432 5540 6434 8864 11080 12868 16085 22160 25736 32170 44320 51472 64340 102944 128680 257360 514720 891109 1782218 3564436 4455545 7128872 8911090 14257744 17822180 28515488 35644360 71288720 142577440