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142150784 = 27971072
BaseRepresentation
bin10000111100100…
…00110010000000
3100220111000012212
420132100302000
5242342311114
622034441252
73344155526
oct1036206200
9326430185
10142150784
1173270a96
123b733228
13235b12b9
1414c44316
15c72db3e
hex8790c80

142150784 has 48 divisors (see below), whose sum is σ = 288809430. Its totient is φ = 69685248.

The previous prime is 142150777. The next prime is 142150807. The reversal of 142150784 is 487051241.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 123832384 + 18318400 = 11128^2 + 4280^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 142150784.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1328459 + ... + 1328565.

Almost surely, 2142150784 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 142150784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144404715).

142150784 is an abundant number, since it is smaller than the sum of its proper divisors (146658646).

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

142150784 is an frugal number, since it uses more digits than its factorization.

142150784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 32.

The square root of 142150784 is about 11922.7003652696. The cubic root of 142150784 is about 521.8949402734.

The spelling of 142150784 in words is "one hundred forty-two million, one hundred fifty thousand, seven hundred eighty-four".

Divisors: 1 2 4 8 16 32 64 97 107 128 194 214 388 428 776 856 1552 1712 3104 3424 6208 6848 10379 11449 12416 13696 20758 22898 41516 45796 83032 91592 166064 183184 332128 366368 664256 732736 1110553 1328512 1465472 2221106 4442212 8884424 17768848 35537696 71075392 142150784