Search a number
-
+
30955232 = 2571117739
BaseRepresentation
bin111011000010…
…1011011100000
32011020200121002
41312011123200
530411031412
63023251132
7524054330
oct166053340
964220532
1030955232
1116523140
12a449aa8
13654aa09
14417b0c0
152ab6dc2
hex1d856e0

30955232 has 96 divisors (see below), whose sum is σ = 80559360. Its totient is φ = 11335680.

The previous prime is 30955229. The next prime is 30955247. The reversal of 30955232 is 23255903.

It is a junction number, because it is equal to n+sod(n) for n = 30955195 and 30955204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41519 + ... + 42257.

It is an arithmetic number, because the mean of its divisors is an integer number (839160).

Almost surely, 230955232 is an apocalyptic number.

30955232 is a gapful number since it is divisible by the number (32) 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 30955232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40279680).

30955232 is an abundant number, since it is smaller than the sum of its proper divisors (49604128).

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

30955232 is a wasteful number, since it uses less digits than its factorization.

30955232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 29.

The square root of 30955232 is about 5563.7426252479. The cubic root of 30955232 is about 313.9867737542.

The spelling of 30955232 in words is "thirty million, nine hundred fifty-five thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 11 14 16 17 22 28 32 34 44 56 68 77 88 112 119 136 154 176 187 224 238 272 308 352 374 476 544 616 739 748 952 1232 1309 1478 1496 1904 2464 2618 2956 2992 3808 5173 5236 5912 5984 8129 10346 10472 11824 12563 16258 20692 20944 23648 25126 32516 41384 41888 50252 56903 65032 82768 87941 100504 113806 130064 138193 165536 175882 201008 227612 260128 276386 351764 402016 455224 552772 703528 910448 967351 1105544 1407056 1820896 1934702 2211088 2814112 3869404 4422176 7738808 15477616 30955232