Search a number
-
+
142402840 = 23531412801
BaseRepresentation
bin10000111110011…
…10010100011000
3100220221210222021
420133032110120
5242423342330
622044104224
73346255426
oct1037162430
9326853867
10142402840
11734233a8
123b835074
132366bc48
1414cac116
15c77d67a
hex87ce518

142402840 has 64 divisors (see below), whose sum is σ = 338929920. Its totient is φ = 53760000.

The previous prime is 142402837. The next prime is 142402849. The reversal of 142402840 is 48204241.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142402849) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 49440 + ... + 52240.

It is an arithmetic number, because the mean of its divisors is an integer number (5295780).

Almost surely, 2142402840 is an apocalyptic number.

142402840 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 142402840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169464960).

142402840 is an abundant number, since it is smaller than the sum of its proper divisors (196527080).

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

142402840 is a wasteful number, since it uses less digits than its factorization.

142402840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2884 (or 2880 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

The square root of 142402840 is about 11933.2661078181. The cubic root of 142402840 is about 522.2032257731.

The spelling of 142402840 in words is "one hundred forty-two million, four hundred two thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 20 31 40 41 62 82 124 155 164 205 248 310 328 410 620 820 1240 1271 1640 2542 2801 5084 5602 6355 10168 11204 12710 14005 22408 25420 28010 50840 56020 86831 112040 114841 173662 229682 347324 434155 459364 574205 694648 868310 918728 1148410 1736620 2296820 3473240 3560071 4593640 7120142 14240284 17800355 28480568 35600710 71201420 142402840