Search a number
-
+
142241376 = 2537320297
BaseRepresentation
bin10000111101001…
…10111001100000
3100220122121111010
420132212321200
5242403211001
622040420520
73345013614
oct1036467140
9326577433
10142241376
1173323062
123b777740
13236135c4
1414c69344
15c74a8d6
hex87a6e60

142241376 has 48 divisors (see below), whose sum is σ = 378517104. Its totient is φ = 46761984.

The previous prime is 142241371. The next prime is 142241381. The reversal of 142241376 is 673142241.

It is an interprime number because it is at equal distance from previous prime (142241371) and next prime (142241381).

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142241371) 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 7 ways as a sum of consecutive naturals, for example, 3141 + ... + 17156.

It is an arithmetic number, because the mean of its divisors is an integer number (7885773).

Almost surely, 2142241376 is an apocalyptic number.

142241376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

142241376 is an abundant number, since it is smaller than the sum of its proper divisors (236275728).

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

142241376 is a wasteful number, since it uses less digits than its factorization.

142241376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20383 (or 20375 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 142241376 is about 11926.4988995094. The cubic root of 142241376 is about 522.0057837618.

The spelling of 142241376 in words is "one hundred forty-two million, two hundred forty-one thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 73 96 146 219 292 438 584 876 1168 1752 2336 3504 7008 20297 40594 60891 81188 121782 162376 243564 324752 487128 649504 974256 1481681 1948512 2963362 4445043 5926724 8890086 11853448 17780172 23706896 35560344 47413792 71120688 142241376