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30028600 = 2352789241
BaseRepresentation
bin111001010001…
…1001100111000
32002111121111101
41302203030320
530141403400
62551341144
7513144640
oct162431470
962447441
1030028600
1115a4aa28
12a0817b4
1362b5004
143db9520
15298256a
hex1ca3338

30028600 has 96 divisors (see below), whose sum is σ = 81021600. Its totient is φ = 10137600.

The previous prime is 30028589. The next prime is 30028627. The reversal of 30028600 is 682003.

It is a congruent number.

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, 124480 + ... + 124720.

It is an arithmetic number, because the mean of its divisors is an integer number (843975).

Almost surely, 230028600 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 30028600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40510800).

30028600 is an abundant number, since it is smaller than the sum of its proper divisors (50993000).

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

30028600 is a wasteful number, since it uses less digits than its factorization.

30028600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 30028600 is about 5479.8357639623. The cubic root of 30028600 is about 310.8219601784.

It can be divided in two parts, 30028 and 600, that added together give a triangular number (30628 = T247).

The spelling of 30028600 in words is "thirty million, twenty-eight thousand, six hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 89 100 140 175 178 200 241 280 350 356 445 482 623 700 712 890 964 1205 1246 1400 1687 1780 1928 2225 2410 2492 3115 3374 3560 4450 4820 4984 6025 6230 6748 8435 8900 9640 12050 12460 13496 15575 16870 17800 21449 24100 24920 31150 33740 42175 42898 48200 62300 67480 84350 85796 107245 124600 150143 168700 171592 214490 300286 337400 428980 536225 600572 750715 857960 1072450 1201144 1501430 2144900 3002860 3753575 4289800 6005720 7507150 15014300 30028600