Search a number
-
+
30055432 = 2311261509
BaseRepresentation
bin111001010100…
…1110000001000
32002112222022011
41302221300020
530143233212
62552105304
7513316111
oct162516010
962488264
1030055432
1115a69100
12a095234
1362c42a4
143dc5208
15298a4a7
hex1ca9c08

30055432 has 48 divisors (see below), whose sum is σ = 63081900. Its totient is φ = 13411200.

The previous prime is 30055429. The next prime is 30055453. The reversal of 30055432 is 23455003.

It can be written as a sum of positive squares in 2 ways, for example, as 29528356 + 527076 = 5434^2 + 726^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58794 + ... + 59302.

Almost surely, 230055432 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 30055432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31540950).

30055432 is an abundant number, since it is smaller than the sum of its proper divisors (33026468).

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

30055432 is a wasteful number, since it uses less digits than its factorization.

30055432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 22.

The square root of 30055432 is about 5482.2834658562. The cubic root of 30055432 is about 310.9145107470.

The spelling of 30055432 in words is "thirty million, fifty-five thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 22 44 61 88 121 122 242 244 484 488 509 671 968 1018 1342 2036 2684 4072 5368 5599 7381 11198 14762 22396 29524 31049 44792 59048 61589 62098 123178 124196 246356 248392 341539 492712 683078 1366156 2732312 3756929 7513858 15027716 30055432