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2123890128 = 243214749237
BaseRepresentation
bin111111010010111…
…1111110111010000
312111000110210112100
41332211333313100
513322203441003
6550430200400
7103426524333
oct17645776720
95430423470
102123890128
1199a9760a8
124b3353100
1327b033b29
1416210861a
15c66d5ba3
hex7e97fdd0

2123890128 has 30 divisors (see below), whose sum is σ = 5943942914. Its totient is φ = 707963328.

The previous prime is 2123890123. The next prime is 2123890141. The reversal of 2123890128 is 8210983212.

It can be written as a sum of positive squares in only one way, i.e., 1407150144 + 716739984 = 37512^2 + 26772^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2123890092 and 2123890101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2123890123) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7374475 + ... + 7374762.

Almost surely, 22123890128 is an apocalyptic number.

It is an amenable number.

2123890128 is an abundant number, since it is smaller than the sum of its proper divisors (3820052786).

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

2123890128 is a wasteful number, since it uses less digits than its factorization.

2123890128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14749251 (or 14749242 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 2123890128 is about 46085.6824621270. The cubic root of 2123890128 is about 1285.4169294135.

The spelling of 2123890128 in words is "two billion, one hundred twenty-three million, eight hundred ninety thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 14749237 29498474 44247711 58996948 88495422 117993896 132743133 176990844 235987792 265486266 353981688 530972532 707963376 1061945064 2123890128