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30290720 = 255312197
BaseRepresentation
bin111001110001…
…1001100100000
32002222221001112
41303203030200
530223300340
63001122452
7515316065
oct163431440
962887045
1030290720
1116109959
12a189428
136377405
144046c6c
1529d5065
hex1ce3320

30290720 has 72 divisors (see below), whose sum is σ = 74320092. Its totient is φ = 11665920.

The previous prime is 30290717. The next prime is 30290783. The reversal of 30290720 is 2709203.

It can be written as a sum of positive squares in 2 ways, for example, as 28430224 + 1860496 = 5332^2 + 1364^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 153662 + ... + 153858.

Almost surely, 230290720 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 30290720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37160046).

30290720 is an abundant number, since it is smaller than the sum of its proper divisors (44029372).

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

30290720 is a wasteful number, since it uses less digits than its factorization.

30290720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 23.

The square root of 30290720 is about 5503.7005732507. The cubic root of 30290720 is about 311.7237308968.

Adding to 30290720 its reverse (2709203), we get a palindrome (32999923).

The spelling of 30290720 in words is "thirty million, two hundred ninety thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 80 124 155 160 197 248 310 394 496 620 788 961 985 992 1240 1576 1922 1970 2480 3152 3844 3940 4805 4960 6107 6304 7688 7880 9610 12214 15376 15760 19220 24428 30535 30752 31520 38440 48856 61070 76880 97712 122140 153760 189317 195424 244280 378634 488560 757268 946585 977120 1514536 1893170 3029072 3786340 6058144 7572680 15145360 30290720