[go: up one dir, main page]

Search a number
-
+
30856896 = 263372551
BaseRepresentation
bin111010110110…
…1011011000000
32011001200201000
41311231123000
530344410041
63021212000
7523164540
oct165553300
964050630
1030856896
1116466274
12a401000
136515025
144153320
152a97bb6
hex1d6d6c0

30856896 has 112 divisors (see below), whose sum is σ = 103713280. Its totient is φ = 8812800.

The previous prime is 30856867. The next prime is 30856897. The reversal of 30856896 is 69865803.

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

It is not an unprimeable number, because it can be changed into a prime (30856897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10821 + ... + 13371.

Almost surely, 230856896 is an apocalyptic number.

30856896 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30856896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51856640).

30856896 is an abundant number, since it is smaller than the sum of its proper divisors (72856384).

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

30856896 is a wasteful number, since it uses less digits than its factorization.

30856896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2579 (or 2563 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 30856896 is about 5554.8983789085. The cubic root of 30856896 is about 313.6539387299.

The spelling of 30856896 in words is "thirty million, eight hundred fifty-six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 144 168 189 192 216 224 252 288 336 378 432 448 504 576 672 756 864 1008 1344 1512 1728 2016 2551 3024 4032 5102 6048 7653 10204 12096 15306 17857 20408 22959 30612 35714 40816 45918 53571 61224 68877 71428 81632 91836 107142 122448 137754 142856 160713 163264 183672 214284 244896 275508 285712 321426 367344 428568 482139 489792 551016 571424 642852 734688 857136 964278 1102032 1142848 1285704 1469376 1714272 1928556 2204064 2571408 3428544 3857112 4408128 5142816 7714224 10285632 15428448 30856896