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30881200 = 2452741269
BaseRepresentation
bin111010111001…
…1010110110000
32011002221001011
41311303112300
530401144300
63021520304
7523325440
oct165632660
964087034
1030881200
1116482559
12a413094
1365230cc
14415c120
152a9eeba
hex1d735b0

30881200 has 120 divisors (see below), whose sum is σ = 87181920. Its totient is φ = 10291200.

The previous prime is 30881173. The next prime is 30881261. The reversal of 30881200 is 218803.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114666 + ... + 114934.

It is an arithmetic number, because the mean of its divisors is an integer number (726516).

Almost surely, 230881200 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 30881200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43590960).

30881200 is an abundant number, since it is smaller than the sum of its proper divisors (56300720).

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

30881200 is a wasteful number, since it uses less digits than its factorization.

30881200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 30881200 is about 5557.0855670936. The cubic root of 30881200 is about 313.7362654898.

The spelling of 30881200 in words is "thirty million, eight hundred eighty-one thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 41 50 56 70 80 82 100 112 140 164 175 200 205 269 280 287 328 350 400 410 538 560 574 656 700 820 1025 1076 1148 1345 1400 1435 1640 1883 2050 2152 2296 2690 2800 2870 3280 3766 4100 4304 4592 5380 5740 6725 7175 7532 8200 9415 10760 11029 11480 13450 14350 15064 16400 18830 21520 22058 22960 26900 28700 30128 37660 44116 47075 53800 55145 57400 75320 77203 88232 94150 107600 110290 114800 150640 154406 176464 188300 220580 275725 308812 376600 386015 441160 551450 617624 753200 772030 882320 1102900 1235248 1544060 1930075 2205800 3088120 3860150 4411600 6176240 7720300 15440600 30881200