[go: up one dir, main page]

Search a number
-
+
30089184 = 25317103179
BaseRepresentation
bin111001011000…
…1111111100000
32002121200121020
41302301333200
530200323214
62552525440
7513516366
oct162617740
962550536
1030089184
1115a914a4
12a0b0880
136306768
143dd3636
1529954a9
hex1cb1fe0

30089184 has 96 divisors (see below), whose sum is σ = 84913920. Its totient is φ = 9295872.

The previous prime is 30089183. The next prime is 30089219. The reversal of 30089184 is 48198003.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×300891843 (a number of 23 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30089183) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 168007 + ... + 168185.

It is an arithmetic number, because the mean of its divisors is an integer number (884520).

Almost surely, 230089184 is an apocalyptic number.

30089184 is a gapful number since it is divisible by the number (34) 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 30089184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42456960).

30089184 is an abundant number, since it is smaller than the sum of its proper divisors (54824736).

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

30089184 is a wasteful number, since it uses less digits than its factorization.

30089184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 30089184 is about 5485.3608814735. The cubic root of 30089184 is about 311.0308520104.

The spelling of 30089184 in words is "thirty million, eighty-nine thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 103 136 179 204 206 272 309 358 408 412 537 544 618 716 816 824 1074 1236 1432 1632 1648 1751 2148 2472 2864 3043 3296 3502 4296 4944 5253 5728 6086 7004 8592 9129 9888 10506 12172 14008 17184 18258 18437 21012 24344 28016 36516 36874 42024 48688 55311 56032 73032 73748 84048 97376 110622 146064 147496 168096 221244 292128 294992 313429 442488 589984 626858 884976 940287 1253716 1769952 1880574 2507432 3761148 5014864 7522296 10029728 15044592 30089184