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30022720 = 2657131031
BaseRepresentation
bin111001010000…
…1110001000000
32002111022102121
41302201301000
530141211340
62551254024
7513121540
oct162416100
962438377
1030022720
1115a46572
12a07a314
1362b2430
143db7320
15298094a
hex1ca1c40

30022720 has 112 divisors (see below), whose sum is σ = 88075008. Its totient is φ = 9492480.

The previous prime is 30022709. The next prime is 30022721. The reversal of 30022720 is 2722003.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 30022694 and 30022703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30022721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28605 + ... + 29635.

It is an arithmetic number, because the mean of its divisors is an integer number (786384).

Almost surely, 230022720 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 30022720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44037504).

30022720 is an abundant number, since it is smaller than the sum of its proper divisors (58052288).

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

30022720 is a wasteful number, since it uses less digits than its factorization.

30022720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068 (or 1058 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 16.

The square root of 30022720 is about 5479.2992252659. The cubic root of 30022720 is about 310.8016711603.

Adding to 30022720 its reverse (2722003), we get a palindrome (32744723).

The spelling of 30022720 in words is "thirty million, twenty-two thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 52 56 64 65 70 80 91 104 112 130 140 160 182 208 224 260 280 320 364 416 448 455 520 560 728 832 910 1031 1040 1120 1456 1820 2062 2080 2240 2912 3640 4124 4160 5155 5824 7217 7280 8248 10310 13403 14434 14560 16496 20620 26806 28868 29120 32992 36085 41240 53612 57736 65984 67015 72170 82480 93821 107224 115472 134030 144340 164960 187642 214448 230944 268060 288680 329920 375284 428896 461888 469105 536120 577360 750568 857792 938210 1072240 1154720 1501136 1876420 2144480 2309440 3002272 3752840 4288960 6004544 7505680 15011360 30022720