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30984120 = 2334573131
BaseRepresentation
bin111011000110…
…0011110111000
32011022011020000
41312030132320
530412442440
63024033000
7524234466
oct166143670
964264200
1030984120
1116542912
12a462760
13655abcb
144187836
152ac0730
hex1d8c7b8

30984120 has 160 divisors (see below), whose sum is σ = 106373520. Its totient is φ = 8087040.

The previous prime is 30984119. The next prime is 30984131. The reversal of 30984120 is 2148903.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 236455 + ... + 236585.

Almost surely, 230984120 is an apocalyptic number.

30984120 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 30984120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53186760).

30984120 is an abundant number, since it is smaller than the sum of its proper divisors (75389400).

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

30984120 is a wasteful number, since it uses less digits than its factorization.

30984120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 30984120 is about 5566.3381140567. The cubic root of 30984120 is about 314.0844161583.

The spelling of 30984120 in words is "thirty million, nine hundred eighty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 73 81 90 108 120 131 135 146 162 180 216 219 262 270 292 324 360 365 393 405 438 524 540 584 648 655 657 730 786 810 876 1048 1080 1095 1179 1310 1314 1460 1572 1620 1752 1965 1971 2190 2358 2620 2628 2920 3144 3240 3285 3537 3930 3942 4380 4716 5240 5256 5895 5913 6570 7074 7860 7884 8760 9432 9563 9855 10611 11790 11826 13140 14148 15720 15768 17685 19126 19710 21222 23580 23652 26280 28296 28689 29565 35370 38252 39420 42444 47160 47304 47815 53055 57378 59130 70740 76504 78840 84888 86067 95630 106110 114756 118260 141480 143445 172134 191260 212220 229512 236520 258201 286890 344268 382520 424440 430335 516402 573780 688536 774603 860670 1032804 1147560 1291005 1549206 1721340 2065608 2582010 3098412 3442680 3873015 5164020 6196824 7746030 10328040 15492060 30984120