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140020128 = 2532486181
BaseRepresentation
bin10000101100010…
…00100110100000
3100202110202111200
420112020212200
5241321121003
621521041200
73320102643
oct1026104640
9322422450
10140020128
1172046216
123aa86200
1323016561
141484ba5a
15c45c6a3
hex85889a0

140020128 has 36 divisors (see below), whose sum is σ = 398183058. Its totient is φ = 46673280.

The previous prime is 140020103. The next prime is 140020141. The reversal of 140020128 is 821020041.

It can be written as a sum of positive squares in only one way, i.e., 132987024 + 7033104 = 11532^2 + 2652^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 140020128.

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, 242803 + ... + 243378.

Almost surely, 2140020128 is an apocalyptic number.

140020128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

140020128 is an abundant number, since it is smaller than the sum of its proper divisors (258162930).

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

140020128 is a wasteful number, since it uses less digits than its factorization.

140020128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486197 (or 486186 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 140020128 is about 11833.0100988717. The cubic root of 140020128 is about 519.2742934025.

Adding to 140020128 its reverse (821020041), we get a palindrome (961040169).

It can be divided in two parts, 1400 and 20128, that added together give a triangular number (21528 = T207).

The spelling of 140020128 in words is "one hundred forty million, twenty thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 486181 972362 1458543 1944724 2917086 3889448 4375629 5834172 7778896 8751258 11668344 15557792 17502516 23336688 35005032 46673376 70010064 140020128