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30332120 = 2357132641
BaseRepresentation
bin111001110110…
…1010011011000
32010002000211212
41303231103120
530231111440
63002042252
7515550560
oct163552330
963060755
1030332120
1116137a75
12a1a9388
136390200
144057da0
1529e2465
hex1ced4d8

30332120 has 96 divisors (see below), whose sum is σ = 84589920. Its totient is φ = 9584640.

The previous prime is 30332111. The next prime is 30332153. The reversal of 30332120 is 2123303.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 30332095 and 30332104.

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, 47000 + ... + 47640.

It is an arithmetic number, because the mean of its divisors is an integer number (881145).

Almost surely, 230332120 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 30332120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42294960).

30332120 is an abundant number, since it is smaller than the sum of its proper divisors (54257800).

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

30332120 is a wasteful number, since it uses less digits than its factorization.

30332120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 30332120 is about 5507.4603947736. The cubic root of 30332120 is about 311.8656829251.

Adding to 30332120 its reverse (2123303), we get a palindrome (32455423).

It can be divided in two parts, 303 and 32120, that added together give a palindrome (32423).

The spelling of 30332120 in words is "thirty million, three hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 169 182 260 280 338 364 455 520 641 676 728 845 910 1183 1282 1352 1690 1820 2366 2564 3205 3380 3640 4487 4732 5128 5915 6410 6760 8333 8974 9464 11830 12820 16666 17948 22435 23660 25640 33332 35896 41665 44870 47320 58331 66664 83330 89740 108329 116662 166660 179480 216658 233324 291655 333320 433316 466648 541645 583310 758303 866632 1083290 1166620 1516606 2166580 2333240 3033212 3791515 4333160 6066424 7583030 15166060 30332120