Search a number
-
+
73402128 = 2432509737
BaseRepresentation
bin1000110000000…
…00011100010000
312010010012210100
410120000130100
5122242332003
611141132400
71550623242
oct430003420
9163105710
1073402128
1138485118
12206ba100
1312290217
149a6a092
15669dba3
hex4600710

73402128 has 30 divisors (see below), whose sum is σ = 205424414. Its totient is φ = 24467328.

The previous prime is 73402123. The next prime is 73402159. The reversal of 73402128 is 82120437.

It can be written as a sum of positive squares in only one way, i.e., 72386064 + 1016064 = 8508^2 + 1008^2 .

It is not an unprimeable number, because it can be changed into a prime (73402123) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 254725 + ... + 255012.

Almost surely, 273402128 is an apocalyptic number.

It is an amenable number.

73402128 is an abundant number, since it is smaller than the sum of its proper divisors (132022286).

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

73402128 is a wasteful number, since it uses less digits than its factorization.

73402128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509751 (or 509742 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 73402128 is about 8567.5041873348. The cubic root of 73402128 is about 418.6999254595.

The spelling of 73402128 in words is "seventy-three million, four hundred two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 509737 1019474 1529211 2038948 3058422 4077896 4587633 6116844 8155792 9175266 12233688 18350532 24467376 36701064 73402128