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30190720 = 275723293
BaseRepresentation
bin111001100101…
…0110010000000
32002210211212211
41303022302000
530212100340
62555031504
7514421410
oct163126200
962724784
1030190720
111605080a
12a13b594
136340a41
14401c640
1529b55ea
hex1ccac80

30190720 has 128 divisors (see below), whose sum is σ = 86365440. Its totient is φ = 9867264.

The previous prime is 30190717. The next prime is 30190729. The reversal of 30190720 is 2709103.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×301907202 = 1822959148236800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 30190691 and 30190700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30190729) 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, 102894 + ... + 103186.

It is an arithmetic number, because the mean of its divisors is an integer number (674730).

Almost surely, 230190720 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 30190720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43182720).

30190720 is an abundant number, since it is smaller than the sum of its proper divisors (56174720).

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

30190720 is a wasteful number, since it uses less digits than its factorization.

30190720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 22.

The square root of 30190720 is about 5494.6082662916. The cubic root of 30190720 is about 311.3803172518.

Adding to 30190720 its reverse (2709103), we get a palindrome (32899823).

The spelling of 30190720 in words is "thirty million, one hundred ninety thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 32 35 40 46 56 64 70 80 92 112 115 128 140 160 161 184 224 230 280 293 320 322 368 448 460 560 586 640 644 736 805 896 920 1120 1172 1288 1465 1472 1610 1840 2051 2240 2344 2576 2930 2944 3220 3680 4102 4480 4688 5152 5860 6440 6739 7360 8204 9376 10255 10304 11720 12880 13478 14720 16408 18752 20510 20608 23440 25760 26956 32816 33695 37504 41020 46880 47173 51520 53912 65632 67390 82040 93760 94346 103040 107824 131264 134780 164080 187520 188692 215648 235865 262528 269560 328160 377384 431296 471730 539120 656320 754768 862592 943460 1078240 1312640 1509536 1886920 2156480 3019072 3773840 4312960 6038144 7547680 15095360 30190720