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30020928 = 263723191
BaseRepresentation
bin111001010000…
…1010101000000
32002111012222020
41302201111000
530141132203
62551241440
7513113400
oct162412500
962435866
1030020928
1115a45193
12a079280
1362b1682
143db6800
152980153
hex1ca1540

30020928 has 84 divisors (see below), whose sum is σ = 92427552. Its totient is φ = 8574720.

The previous prime is 30020873. The next prime is 30020933. The reversal of 30020928 is 82902003.

It is a tau number, because it is divible by the number of its divisors (84).

It is a super-2 number, since 2×300209282 = 1802512235962368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 30020898 and 30020907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7813 + ... + 11003.

It is an arithmetic number, because the mean of its divisors is an integer number (1100328).

Almost surely, 230020928 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 30020928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46213776).

30020928 is an abundant number, since it is smaller than the sum of its proper divisors (62406624).

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

30020928 is a wasteful number, since it uses less digits than its factorization.

30020928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3220 (or 3203 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 30020928 is about 5479.1356982648. The cubic root of 30020928 is about 310.7954873137.

The spelling of 30020928 in words is "thirty million, twenty thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 147 168 192 196 224 294 336 392 448 588 672 784 1176 1344 1568 2352 3136 3191 4704 6382 9408 9573 12764 19146 22337 25528 38292 44674 51056 67011 76584 89348 102112 134022 153168 156359 178696 204224 268044 306336 312718 357392 469077 536088 612672 625436 714784 938154 1072176 1250872 1429568 1876308 2144352 2501744 3752616 4288704 5003488 7505232 10006976 15010464 30020928