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30708672 = 263414783
BaseRepresentation
bin111010100100…
…1001111000000
32010210011101020
41311021033000
530330134142
63014105440
7522006441
oct165111700
963704336
1030708672
1116374975
12a34b280
136492717
1441152c8
152a68cec
hex1d493c0

30708672 has 112 divisors (see below), whose sum is σ = 86026752. Its totient is φ = 9656320.

The previous prime is 30708659. The next prime is 30708683. The reversal of 30708672 is 27680703.

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, 369943 + ... + 370025.

It is an arithmetic number, because the mean of its divisors is an integer number (768096).

Almost surely, 230708672 is an apocalyptic number.

30708672 is a gapful number since it is divisible by the number (32) 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 30708672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43013376).

30708672 is an abundant number, since it is smaller than the sum of its proper divisors (55318080).

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

30708672 is a wasteful number, since it uses less digits than its factorization.

30708672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 30708672 is about 5541.5405800192. The cubic root of 30708672 is about 313.1509103622.

The spelling of 30708672 in words is "thirty million, seven hundred eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 47 48 64 82 83 94 96 123 141 164 166 188 192 246 249 282 328 332 376 492 498 564 656 664 752 984 996 1128 1312 1328 1504 1927 1968 1992 2256 2624 2656 3008 3403 3854 3901 3936 3984 4512 5312 5781 6806 7708 7802 7872 7968 9024 10209 11562 11703 13612 15416 15604 15936 20418 23124 23406 27224 30832 31208 40836 46248 46812 54448 61664 62416 81672 92496 93624 108896 123328 124832 159941 163344 184992 187248 217792 249664 319882 326688 369984 374496 479823 639764 653376 748992 959646 1279528 1919292 2559056 3838584 5118112 7677168 10236224 15354336 30708672