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30249128 = 23713371123
BaseRepresentation
bin111001101100…
…1000010101000
32002220211000002
41303121002220
530220433003
63000202132
7515053610
oct163310250
962824002
1030249128
1116090688
12a169348
1363614c0
144035a40
1529c7a88
hex1cd90a8

30249128 has 64 divisors (see below), whose sum is σ = 71756160. Its totient is φ = 11632896.

The previous prime is 30249119. The next prime is 30249139. The reversal of 30249128 is 82194203.

It is a self number, because there is not a number n which added to its sum of digits gives 30249128.

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, 26375 + ... + 27497.

It is an arithmetic number, because the mean of its divisors is an integer number (1121190).

Almost surely, 230249128 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 30249128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35878080).

30249128 is an abundant number, since it is smaller than the sum of its proper divisors (41507032).

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

30249128 is a wasteful number, since it uses less digits than its factorization.

30249128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1186 (or 1182 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 30249128 is about 5499.9207267014. The cubic root of 30249128 is about 311.5809902367.

The spelling of 30249128 in words is "thirty million, two hundred forty-nine thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 13 14 26 28 37 52 56 74 91 104 148 182 259 296 364 481 518 728 962 1036 1123 1924 2072 2246 3367 3848 4492 6734 7861 8984 13468 14599 15722 26936 29198 31444 41551 58396 62888 83102 102193 116792 166204 204386 290857 332408 408772 540163 581714 817544 1080326 1163428 2160652 2326856 3781141 4321304 7562282 15124564 30249128