Search a number
-
+
30103360 = 265789151
BaseRepresentation
bin111001011010…
…1011101000000
32002122102001021
41302311131000
530201301420
62553115224
7513605620
oct162653500
962572037
1030103360
1115aa1111
12a0b8b14
136310051
143dd8880
1529997aa
hex1cb5740

30103360 has 112 divisors (see below), whose sum is σ = 83393280. Its totient is φ = 10137600.

The previous prime is 30103349. The next prime is 30103399. The reversal of 30103360 is 6330103.

30103360 = T427 + T428 + ... + T636.

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

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 199285 + ... + 199435.

Almost surely, 230103360 is an apocalyptic number.

30103360 is the 4480-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30103360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41696640).

30103360 is an abundant number, since it is smaller than the sum of its proper divisors (53289920).

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

30103360 is a wasteful number, since it uses less digits than its factorization.

30103360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

The square root of 30103360 is about 5486.6528958920. The cubic root of 30103360 is about 311.0796899484.

Adding to 30103360 its reverse (6330103), we get a palindrome (36433463).

The spelling of 30103360 in words is "thirty million, one hundred three thousand, three hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 89 112 140 151 160 178 224 280 302 320 356 445 448 560 604 623 712 755 890 1057 1120 1208 1246 1424 1510 1780 2114 2240 2416 2492 2848 3020 3115 3560 4228 4832 4984 5285 5696 6040 6230 7120 8456 9664 9968 10570 12080 12460 13439 14240 16912 19936 21140 24160 24920 26878 28480 33824 39872 42280 48320 49840 53756 67195 67648 84560 94073 99680 107512 134390 169120 188146 199360 215024 268780 338240 376292 430048 470365 537560 752584 860096 940730 1075120 1505168 1881460 2150240 3010336 3762920 4300480 6020672 7525840 15051680 30103360