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30663900 = 22335241277
BaseRepresentation
bin111010011111…
…0010011011100
32010200212222000
41310332103130
530322221100
63013122300
7521432061
oct164762334
963625860
1030663900
1116344273
12a329390
136478227
144102c68
152a5a900
hex1d3e4dc

30663900 has 144 divisors (see below), whose sum is σ = 101347680. Its totient is φ = 7948800.

The previous prime is 30663889. The next prime is 30663901. The reversal of 30663900 is 936603.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30663901) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 110562 + ... + 110838.

Almost surely, 230663900 is an apocalyptic number.

30663900 is a gapful number since it is divisible by the number (30) 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 30663900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50673840).

30663900 is an abundant number, since it is smaller than the sum of its proper divisors (70683780).

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

30663900 is a wasteful number, since it uses less digits than its factorization.

30663900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The square root of 30663900 is about 5537.4994356659. The cubic root of 30663900 is about 312.9986492268.

The spelling of 30663900 in words is "thirty million, six hundred sixty-three thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 41 45 50 54 60 75 82 90 100 108 123 135 150 164 180 205 225 246 270 277 300 369 410 450 492 540 554 615 675 738 820 831 900 1025 1107 1108 1230 1350 1385 1476 1662 1845 2050 2214 2460 2493 2700 2770 3075 3324 3690 4100 4155 4428 4986 5535 5540 6150 6925 7380 7479 8310 9225 9972 11070 11357 12300 12465 13850 14958 16620 18450 20775 22140 22714 24930 27675 27700 29916 34071 36900 37395 41550 45428 49860 55350 56785 62325 68142 74790 83100 102213 110700 113570 124650 136284 149580 170355 186975 204426 227140 249300 283925 306639 340710 373950 408852 511065 567850 613278 681420 747900 851775 1022130 1135700 1226556 1533195 1703550 2044260 2555325 3066390 3407100 5110650 6132780 7665975 10221300 15331950 30663900