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30022960 = 24511109313
BaseRepresentation
bin111001010000…
…1110100110000
32002111022202111
41302201310300
530141213320
62551255104
7513122332
oct162416460
962438674
1030022960
1115a46770
12a07a494
1362b2586
143db7452
152980a5a
hex1ca1d30

30022960 has 80 divisors (see below), whose sum is σ = 77093280. Its totient is φ = 10782720.

The previous prime is 30022943. The next prime is 30022961. The reversal of 30022960 is 6922003.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (30022961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95764 + ... + 96076.

It is an arithmetic number, because the mean of its divisors is an integer number (963666).

Almost surely, 230022960 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 30022960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38546640).

30022960 is an abundant number, since it is smaller than the sum of its proper divisors (47070320).

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

30022960 is a wasteful number, since it uses less digits than its factorization.

30022960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 30022960 is about 5479.3211258330. The cubic root of 30022960 is about 310.8024993353.

Adding to 30022960 its reverse (6922003), we get a palindrome (36944963).

The spelling of 30022960 in words is "thirty million, twenty-two thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 109 110 176 218 220 313 436 440 545 626 872 880 1090 1199 1252 1565 1744 2180 2398 2504 3130 3443 4360 4796 5008 5995 6260 6886 8720 9592 11990 12520 13772 17215 19184 23980 25040 27544 34117 34430 47960 55088 68234 68860 95920 136468 137720 170585 272936 275440 341170 375287 545872 682340 750574 1364680 1501148 1876435 2729360 3002296 3752870 6004592 7505740 15011480 30022960