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30124926 = 2331323301
BaseRepresentation
bin111001011101…
…0101101111110
32002200111122000
41302322231332
530202444201
62553403130
7514025526
oct162725576
962614560
1030124926
1116006337
12a1094a6
136319b00
144002686
1529a0d86
hex1cbab7e

30124926 has 48 divisors (see below), whose sum is σ = 72511920. Its totient is φ = 9266400.

The previous prime is 30124921. The next prime is 30124949. The reversal of 30124926 is 62942103.

It is a super-2 number, since 2×301249262 = 1815022333010952, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 30124926.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30124921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7476 + ... + 10776.

It is an arithmetic number, because the mean of its divisors is an integer number (1510665).

Almost surely, 230124926 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30124926, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36255960).

30124926 is an abundant number, since it is smaller than the sum of its proper divisors (42386994).

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

30124926 is a wasteful number, since it uses less digits than its factorization.

30124926 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3338 (or 3319 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 30124926 is about 5488.6178588056. The cubic root of 30124926 is about 311.1539578838.

The spelling of 30124926 in words is "thirty million, one hundred twenty-four thousand, nine hundred twenty-six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 169 234 338 351 507 702 1014 1521 3042 3301 4563 6602 9126 9903 19806 29709 42913 59418 85826 89127 128739 178254 257478 386217 557869 772434 1115738 1158651 1673607 2317302 3347214 5020821 10041642 15062463 30124926