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30105540 = 22335197283
BaseRepresentation
bin111001011010…
…1111111000100
32002122112001000
41302311333010
530201334130
62553133300
7513615153
oct162657704
962575030
1030105540
1115aa2813
12a0ba230
13631103a
143dd959a
15299a260
hex1cb5fc4

30105540 has 96 divisors (see below), whose sum is σ = 94469760. Its totient is φ = 7959168.

The previous prime is 30105529. The next prime is 30105541. The reversal of 30105540 is 4550103.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30105541) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106239 + ... + 106521.

It is an arithmetic number, because the mean of its divisors is an integer number (984060).

Almost surely, 230105540 is an apocalyptic number.

30105540 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 30105540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47234880).

30105540 is an abundant number, since it is smaller than the sum of its proper divisors (64364220).

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

30105540 is a wasteful number, since it uses less digits than its factorization.

30105540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 30105540 is about 5486.8515562206. The cubic root of 30105540 is about 311.0871989369.

Adding to 30105540 its reverse (4550103), we get a palindrome (34655643).

It can be divided in two parts, 30 and 105540, that added together give a triangular number (105570 = T459).

The spelling of 30105540 in words is "thirty million, one hundred five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 197 270 283 394 540 566 591 788 849 985 1132 1182 1415 1698 1773 1970 2364 2547 2830 2955 3396 3546 3940 4245 5094 5319 5660 5910 7092 7641 8490 8865 10188 10638 11820 12735 15282 16980 17730 21276 25470 26595 30564 35460 38205 50940 53190 55751 76410 106380 111502 152820 167253 223004 278755 334506 501759 557510 669012 836265 1003518 1115020 1505277 1672530 2007036 2508795 3010554 3345060 5017590 6021108 7526385 10035180 15052770 30105540