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142780928 = 29377537
BaseRepresentation
bin10001000001010…
…10101000000000
3100221200000121112
420200222220000
5243022442203
622100142452
73352421633
oct1040525000
9327600545
10142780928
1173661474
123b997a28
1323772074
1414d69c1a
15c8056d8
hex882aa00

142780928 has 40 divisors (see below), whose sum is σ = 293032212. Its totient is φ = 69451776.

The previous prime is 142780873. The next prime is 142780933. The reversal of 142780928 is 829087241.

It can be written as a sum of positive squares in 2 ways, for example, as 137545984 + 5234944 = 11728^2 + 2288^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15176 + ... + 22712.

Almost surely, 2142780928 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 142780928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146516106).

142780928 is an abundant number, since it is smaller than the sum of its proper divisors (150251284).

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

142780928 is an frugal number, since it uses more digits than its factorization.

142780928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7592 (or 7576 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 41.

The square root of 142780928 is about 11949.0973717683. The cubic root of 142780928 is about 522.6649775502.

The spelling of 142780928 in words is "one hundred forty-two million, seven hundred eighty thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 256 296 512 592 1184 2368 4736 7537 9472 15074 18944 30148 60296 120592 241184 278869 482368 557738 964736 1115476 1929472 2230952 3858944 4461904 8923808 17847616 35695232 71390464 142780928