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142346240 = 211513901
BaseRepresentation
bin10000111110000…
…00100000000000
3100220211221022222
420133000200000
5242420034430
622042550212
73345631421
oct1037004000
9326757288
10142346240
1173394923
123b808368
132364c25a
1414c95648
15c76b9e5
hex87c0800

142346240 has 48 divisors (see below), whose sum is σ = 341572140. Its totient is φ = 56934400.

The previous prime is 142346231. The next prime is 142346251. The reversal of 142346240 is 42643241.

It can be written as a sum of positive squares in 2 ways, for example, as 140944384 + 1401856 = 11872^2 + 1184^2 .

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 3 ways as a sum of consecutive naturals, for example, 3290 + ... + 17190.

Almost surely, 2142346240 is an apocalyptic number.

142346240 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 142346240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170786070).

142346240 is an abundant number, since it is smaller than the sum of its proper divisors (199225900).

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

142346240 is an equidigital number, since it uses as much as digits as its factorization.

142346240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13928 (or 13908 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 142346240 is about 11930.8943503830. The cubic root of 142346240 is about 522.1340309468.

Adding to 142346240 its reverse (42643241), we get a palindrome (184989481).

The spelling of 142346240 in words is "one hundred forty-two million, three hundred forty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2048 2560 5120 10240 13901 27802 55604 69505 111208 139010 222416 278020 444832 556040 889664 1112080 1779328 2224160 3558656 4448320 7117312 8896640 14234624 17793280 28469248 35586560 71173120 142346240