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142769304 = 23352712
BaseRepresentation
bin10001000001001…
…11110010011000
3100221122102200000
420200213302120
5243022104204
622100013000
73352343016
oct1040476230
9327572600
10142769304
1173653767
123b991160
13237699a2
1414d658b6
15c802039
hex8827c98

142769304 has 72 divisors (see below), whose sum is σ = 402472980. Its totient is φ = 47414160.

The previous prime is 142769299. The next prime is 142769309. The reversal of 142769304 is 403967241.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (142769299) and next prime (142769309).

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142769309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 526689 + ... + 526959.

Almost surely, 2142769304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142769304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201236490).

142769304 is an abundant number, since it is smaller than the sum of its proper divisors (259703676).

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

142769304 is an frugal number, since it uses more digits than its factorization.

142769304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 142769304 is about 11948.6109652963. The cubic root of 142769304 is about 522.6507935303.

The spelling of 142769304 in words is "one hundred forty-two million, seven hundred sixty-nine thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 271 324 486 542 648 813 972 1084 1626 1944 2168 2439 3252 4878 6504 7317 9756 14634 19512 21951 29268 43902 58536 65853 73441 87804 131706 146882 175608 220323 263412 293764 440646 526824 587528 660969 881292 1321938 1762584 1982907 2643876 3965814 5287752 5948721 7931628 11897442 15863256 17846163 23794884 35692326 47589768 71384652 142769304