Search a number
-
+
30855168 = 2123531
BaseRepresentation
bin111010110110…
…1000000000000
32011001121100000
41311231000000
530344331133
63021200000
7523156521
oct165550000
964047300
1030855168
1116464a43
12a400000
1365142c6
144152848
152a97413
hex1d6d000

30855168 has 156 divisors (see below), whose sum is σ = 95408768. Its totient is φ = 9953280.

The previous prime is 30855161. The next prime is 30855173. The reversal of 30855168 is 86155803.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30855161) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 995313 + ... + 995343.

Almost surely, 230855168 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 30855168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47704384).

30855168 is an abundant number, since it is smaller than the sum of its proper divisors (64553600).

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

30855168 is an frugal number, since it uses more digits than its factorization.

30855168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 30855168 is about 5554.7428383319. The cubic root of 30855168 is about 313.6480837002.

The spelling of 30855168 in words is "thirty million, eight hundred fifty-five thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 81 93 96 108 124 128 144 162 186 192 216 243 248 256 279 288 324 372 384 432 486 496 512 558 576 648 744 768 837 864 972 992 1024 1116 1152 1296 1488 1536 1674 1728 1944 1984 2048 2232 2304 2511 2592 2976 3072 3348 3456 3888 3968 4096 4464 4608 5022 5184 5952 6144 6696 6912 7533 7776 7936 8928 9216 10044 10368 11904 12288 13392 13824 15066 15552 15872 17856 18432 20088 20736 23808 26784 27648 30132 31104 31744 35712 36864 40176 41472 47616 53568 55296 60264 62208 63488 71424 80352 82944 95232 107136 110592 120528 124416 126976 142848 160704 165888 190464 214272 241056 248832 285696 321408 331776 380928 428544 482112 497664 571392 642816 857088 964224 995328 1142784 1285632 1714176 1928448 2571264 3428352 3856896 5142528 7713792 10285056 15427584 30855168