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142769088 = 26337112937
BaseRepresentation
bin10001000001001…
…11101111000000
3100221122102101000
420200213233000
5243022102323
622100012000
73352342260
oct1040475700
9327572330
10142769088
1173653590
123b991000
1323769867
1414d657a0
15c801e43
hex8827bc0

142769088 has 448 divisors, whose sum is σ = 555955200. Its totient is φ = 34836480.

The previous prime is 142769087. The next prime is 142769089. The reversal of 142769088 is 880967241.

It is an interprime number because it is at equal distance from previous prime (142769087) and next prime (142769089).

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142769087) 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 63 ways as a sum of consecutive naturals, for example, 3858606 + ... + 3858642.

Almost surely, 2142769088 is an apocalyptic number.

142769088 is a gapful number since it is divisible by the number (18) 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 142769088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277977600).

142769088 is an abundant number, since it is smaller than the sum of its proper divisors (413186112).

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

142769088 is a wasteful number, since it uses less digits than its factorization.

142769088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 142769088 is about 11948.6019265854. The cubic root of 142769088 is about 522.6505299521.

The spelling of 142769088 in words is "one hundred forty-two million, seven hundred sixty-nine thousand, eighty-eight".