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30718080 = 273255333
BaseRepresentation
bin111010100101…
…1100010000000
32010210122021200
41311023202000
530330434310
63014221200
7522046041
oct165134200
963718250
1030718080
1116380a48
12a354800
136496aa3
1441188c8
152a6b9c0
hex1d4b880

30718080 has 96 divisors (see below), whose sum is σ = 106093260. Its totient is φ = 8189952.

The previous prime is 30718069. The next prime is 30718097. The reversal of 30718080 is 8081703.

It can be written as a sum of positive squares in 2 ways, for example, as 28132416 + 2585664 = 5304^2 + 1608^2 .

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

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, 3094 + ... + 8426.

Almost surely, 230718080 is an apocalyptic number.

30718080 is a gapful number since it is divisible by the number (30) 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 30718080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53046630).

30718080 is an abundant number, since it is smaller than the sum of its proper divisors (75375180).

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

30718080 is a wasteful number, since it uses less digits than its factorization.

30718080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5358 (or 5343 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 30718080 is about 5542.3893764332. The cubic root of 30718080 is about 313.1828863782.

Adding to 30718080 its reverse (8081703), we get a palindrome (38799783).

The spelling of 30718080 in words is "thirty million, seven hundred eighteen thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5333 5760 10666 15999 21332 26665 31998 42664 47997 53330 63996 79995 85328 95994 106660 127992 159990 170656 191988 213320 239985 255984 319980 341312 383976 426640 479970 511968 639960 682624 767952 853280 959940 1023936 1279920 1535904 1706560 1919880 2047872 2559840 3071808 3413120 3839760 5119680 6143616 7679520 10239360 15359040 30718080