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30106048 = 267175967
BaseRepresentation
bin111001011011…
…0000111000000
32002122112201211
41302312013000
530201343143
62553135504
7513616510
oct162660700
962575654
1030106048
1115aa3135
12a0ba594
13631133b
143dd9840
15299a49d
hex1cb61c0

30106048 has 112 divisors (see below), whose sum is σ = 74615040. Its totient is φ = 11759616.

The previous prime is 30106039. The next prime is 30106061. The reversal of 30106048 is 84060103.

It is a tau number, because it is divible by the number of its divisors (112).

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 15 ways as a sum of consecutive naturals, for example, 449311 + ... + 449377.

Almost surely, 230106048 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 30106048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37307520).

30106048 is an abundant number, since it is smaller than the sum of its proper divisors (44508992).

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

30106048 is a wasteful number, since it uses less digits than its factorization.

30106048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 30106048 is about 5486.8978485115. The cubic root of 30106048 is about 311.0889486858.

The spelling of 30106048 in words is "thirty million, one hundred six thousand, forty-eight".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 59 64 67 68 112 118 119 134 136 224 236 238 268 272 413 448 469 472 476 536 544 826 938 944 952 1003 1072 1088 1139 1652 1876 1888 1904 2006 2144 2278 3304 3752 3776 3808 3953 4012 4288 4556 6608 7021 7504 7616 7906 7973 8024 9112 13216 14042 15008 15812 15946 16048 18224 26432 27671 28084 30016 31624 31892 32096 36448 55342 56168 63248 63784 64192 67201 72896 110684 112336 126496 127568 134402 221368 224672 252992 255136 268804 442736 449344 470407 510272 537608 885472 940814 1075216 1770944 1881628 2150432 3763256 4300864 7526512 15053024 30106048