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30773028 = 223111379227
BaseRepresentation
bin111010101100…
…0111100100100
32010220102122210
41311120330210
530334214103
63015323420
7522365166
oct165307444
963812583
1030773028
1116409260
12a380570
1364b5ac0
144130936
152a7ce03
hex1d58f24

30773028 has 96 divisors (see below), whose sum is σ = 85800960. Its totient is φ = 8461440.

The previous prime is 30773023. The next prime is 30773047. The reversal of 30773028 is 82037703.

It is a junction number, because it is equal to n+sod(n) for n = 30772986 and 30773004.

It is not an unprimeable number, because it can be changed into a prime (30773021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135451 + ... + 135677.

It is an arithmetic number, because the mean of its divisors is an integer number (893760).

Almost surely, 230773028 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 30773028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42900480).

30773028 is an abundant number, since it is smaller than the sum of its proper divisors (55027932).

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

30773028 is a wasteful number, since it uses less digits than its factorization.

30773028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 30773028 is about 5547.3442294489. The cubic root of 30773028 is about 313.3695139550.

It can be divided in two parts, 3077 and 3028, that added together give a triangular number (6105 = T110).

The spelling of 30773028 in words is "thirty million, seven hundred seventy-three thousand, twenty-eight".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 79 132 143 156 158 227 237 286 316 429 454 474 572 681 858 869 908 948 1027 1362 1716 1738 2054 2497 2607 2724 2951 3081 3476 4108 4994 5214 5902 6162 7491 8853 9988 10428 11297 11804 12324 14982 17706 17933 22594 29964 32461 33891 35412 35866 45188 53799 64922 67782 71732 97383 107598 129844 135564 194766 197263 215196 233129 389532 394526 466258 591789 699387 789052 932516 1183578 1398774 2367156 2564419 2797548 5128838 7693257 10257676 15386514 30773028