Search a number
-
+
2730900608 = 273121492
BaseRepresentation
bin1010001011000110…
…0011110010000000
321001022200010100222
42202301203302000
521043102304413
61130552402212
7124450162232
oct24261436200
97038603328
102730900608
111181582057
126426a6368
13346a15627
141bc998252
1510eb3ab08
hexa2c63c80

2730900608 has 72 divisors (see below), whose sum is σ = 5659608465. Its totient is φ = 1312535040.

The previous prime is 2730900589. The next prime is 2730900617. The reversal of 2730900608 is 8060090372.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 2243727424 + 487173184 = 47368^2 + 22072^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=36952.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 18328118 + ... + 18328266.

Almost surely, 22730900608 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 2730900608

2730900608 is an abundant number, since it is smaller than the sum of its proper divisors (2928707857).

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

2730900608 is an frugal number, since it uses more digits than its factorization.

2730900608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 35.

The square root of 2730900608 is about 52258.0195568106. The cubic root of 2730900608 is about 1397.7686577857.

The spelling of 2730900608 in words is "two billion, seven hundred thirty million, nine hundred thousand, six hundred eight".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 149 248 298 496 596 961 992 1192 1922 1984 2384 3844 3968 4619 4768 7688 9238 9536 15376 18476 19072 22201 30752 36952 44402 61504 73904 88804 123008 143189 147808 177608 286378 295616 355216 572756 591232 688231 710432 1145512 1376462 1420864 2291024 2752924 2841728 4582048 5505848 9164096 11011696 18328192 21335161 22023392 42670322 44046784 85340644 88093568 170681288 341362576 682725152 1365450304 2730900608