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30166720 = 265313041
BaseRepresentation
bin111001100010…
…0111011000000
32002202121221221
41303010323000
530210313340
62554324424
7514261423
oct163047300
962677857
1030166720
1116034781
12a129714
136332b3c
1440139ba
1529ad44a
hex1cc4ec0

30166720 has 56 divisors (see below), whose sum is σ = 74176128. Its totient is φ = 11673600.

The previous prime is 30166681. The next prime is 30166733. The reversal of 30166720 is 2766103.

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 7 ways as a sum of consecutive naturals, for example, 8400 + ... + 11440.

Almost surely, 230166720 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 30166720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37088064).

30166720 is an abundant number, since it is smaller than the sum of its proper divisors (44009408).

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

30166720 is a wasteful number, since it uses less digits than its factorization.

30166720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3089 (or 3079 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 25.

The square root of 30166720 is about 5492.4238729362. The cubic root of 30166720 is about 311.2977851720.

The spelling of 30166720 in words is "thirty million, one hundred sixty-six thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 155 160 248 310 320 496 620 992 1240 1984 2480 3041 4960 6082 9920 12164 15205 24328 30410 48656 60820 94271 97312 121640 188542 194624 243280 377084 471355 486560 754168 942710 973120 1508336 1885420 3016672 3770840 6033344 7541680 15083360 30166720