Search a number
-
+
30200256 = 263317477
BaseRepresentation
bin111001100110…
…1000111000000
32002211022222000
41303031013000
530212402011
62555144000
7514461252
oct163150700
962738860
1030200256
1116057999
12a145000
136345198
144021cd2
1529b8356
hex1ccd1c0

30200256 has 56 divisors (see below), whose sum is σ = 88788240. Its totient is φ = 10066176.

The previous prime is 30200249. The next prime is 30200309. The reversal of 30200256 is 65200203.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7011 + ... + 10466.

Almost surely, 230200256 is an apocalyptic number.

30200256 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

30200256 is an abundant number, since it is smaller than the sum of its proper divisors (58587984).

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

30200256 is a wasteful number, since it uses less digits than its factorization.

30200256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17498 (or 17482 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 30200256 is about 5495.4759575491. The cubic root of 30200256 is about 311.4130978561.

Adding to 30200256 its reverse (65200203), we get a palindrome (95400459).

The spelling of 30200256 in words is "thirty million, two hundred thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 17477 34954 52431 69908 104862 139816 157293 209724 279632 314586 419448 471879 559264 629172 838896 943758 1118528 1258344 1677792 1887516 2516688 3355584 3775032 5033376 7550064 10066752 15100128 30200256