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32430000120 = 23357283136421
BaseRepresentation
bin11110001100111110…
…101000011111111000
310002201002202200212120
4132030332220133320
51012404040000440
622521555241240
72225434311210
oct361476503770
9102632680776
1032430000120
11128319870a1
1263508a9220
13309a955aab
1417d9077240
15c9c128dd0
hex78cfa87f8

32430000120 has 128 divisors (see below), whose sum is σ = 111582282240. Its totient is φ = 7386324480.

The previous prime is 32430000079. The next prime is 32430000221. The reversal of 32430000120 is 2100003423.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 32430000120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 169510 + ... + 305930.

It is an arithmetic number, because the mean of its divisors is an integer number (871736580).

Almost surely, 232430000120 is an apocalyptic number.

32430000120 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 32430000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55791141120).

32430000120 is an abundant number, since it is smaller than the sum of its proper divisors (79152282120).

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

32430000120 is a wasteful number, since it uses less digits than its factorization.

32430000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136725 (or 136721 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 32430000120 its reverse (2100003423), we get a palindrome (34530003543).

The spelling of 32430000120 in words is "thirty-two billion, four hundred thirty million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 283 420 566 840 849 1132 1415 1698 1981 2264 2830 3396 3962 4245 5660 5943 6792 7924 8490 9905 11320 11886 15848 16980 19810 23772 29715 33960 39620 47544 59430 79240 118860 136421 237720 272842 409263 545684 682105 818526 954947 1091368 1364210 1637052 1909894 2046315 2728420 2864841 3274104 3819788 4092630 4774735 5456840 5729682 7639576 8185260 9549470 11459364 14324205 16370520 19098940 22918728 28648410 38197880 38607143 57296820 77214286 114593640 115821429 154428572 193035715 231642858 270250001 308857144 386071430 463285716 540500002 579107145 772142860 810750003 926571432 1081000004 1158214290 1351250005 1544285720 1621500006 2162000008 2316428580 2702500010 3243000012 4053750015 4632857160 5405000020 6486000024 8107500030 10810000040 16215000060 32430000120