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142761696 = 25372113189
BaseRepresentation
bin10001000001001…
…01111011100000
3100221122001020020
420200211323200
5243021333241
622055513440
73352311600
oct1040457340
9327561206
10142761696
1173648a80
123b988880
132376639c
1414d62c00
15c7eeb66
hex8825ee0

142761696 has 288 divisors, whose sum is σ = 496419840. Its totient is φ = 35481600.

The previous prime is 142761683. The next prime is 142761719. The reversal of 142761696 is 696167241.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1604020 + ... + 1604108.

It is an arithmetic number, because the mean of its divisors is an integer number (1723680).

Almost surely, 2142761696 is an apocalyptic number.

142761696 is a gapful number since it is divisible by the number (16) 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 142761696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248209920).

142761696 is an abundant number, since it is smaller than the sum of its proper divisors (353658144).

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

142761696 is a wasteful number, since it uses less digits than its factorization.

142761696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 143 counting only the distinct ones).

The product of its digits is 108864, while the sum is 42.

The square root of 142761696 is about 11948.2925976894. The cubic root of 142761696 is about 522.6415095601.

The spelling of 142761696 in words is "one hundred forty-two million, seven hundred sixty-one thousand, six hundred ninety-six".