Search a number
-
+
30727296 = 273317523
BaseRepresentation
bin111010100110…
…1110010000000
32010211002221000
41311031302000
530331233141
63014332000
7522114645
oct165156200
963732830
1030727296
1116387966
12a35a000
13649b042
14411bdcc
152a6e5b6
hex1d4dc80

30727296 has 128 divisors (see below), whose sum is σ = 96206400. Its totient is φ = 9621504.

The previous prime is 30727273. The next prime is 30727343. The reversal of 30727296 is 69272703.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 30727296.

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 15 ways as a sum of consecutive naturals, for example, 58491 + ... + 59013.

Almost surely, 230727296 is an apocalyptic number.

30727296 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30727296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48103200).

30727296 is an abundant number, since it is smaller than the sum of its proper divisors (65479104).

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

30727296 is a wasteful number, since it uses less digits than its factorization.

30727296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 30727296 is about 5543.2207244525. The cubic root of 30727296 is about 313.2142034926.

Adding to 30727296 its reverse (69272703), we get a palindrome (99999999).

The spelling of 30727296 in words is "thirty million, seven hundred twenty-seven thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 96 102 108 128 136 144 153 192 204 216 272 288 306 384 408 432 459 523 544 576 612 816 864 918 1046 1088 1152 1224 1569 1632 1728 1836 2092 2176 2448 3138 3264 3456 3672 4184 4707 4896 6276 6528 7344 8368 8891 9414 9792 12552 14121 14688 16736 17782 18828 19584 25104 26673 28242 29376 33472 35564 37656 50208 53346 56484 58752 66944 71128 75312 80019 100416 106692 112968 142256 150624 160038 200832 213384 225936 240057 284512 301248 320076 426768 451872 480114 569024 602496 640152 853536 903744 960228 1138048 1280304 1707072 1807488 1920456 2560608 3414144 3840912 5121216 7681824 10242432 15363648 30727296