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30141540 = 2232511131171
BaseRepresentation
bin111001011111…
…0110001100100
32002201100102100
41302332301210
530204012130
62554012100
7514125132
oct162766144
962640370
1030141540
1116017870
12a117030
136324540
144008752
1529a5c60
hex1cbec64

30141540 has 144 divisors (see below), whose sum is σ = 107505216. Its totient is φ = 6739200.

The previous prime is 30141539. The next prime is 30141557. The reversal of 30141540 is 4514103.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25155 + ... + 26325.

It is an arithmetic number, because the mean of its divisors is an integer number (746564).

Almost surely, 230141540 is an apocalyptic number.

30141540 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 30141540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53752608).

30141540 is an abundant number, since it is smaller than the sum of its proper divisors (77363676).

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

30141540 is a wasteful number, since it uses less digits than its factorization.

30141540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1210 (or 1205 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 30141540 is about 5490.1311459746. The cubic root of 30141540 is about 311.2111481964.

Adding to 30141540 its reverse (4514103), we get a palindrome (34655643).

It can be divided in two parts, 3014 and 1540, that added together give a palindrome (4554).

The spelling of 30141540 in words is "thirty million, one hundred forty-one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 13 15 18 20 22 26 30 33 36 39 44 45 52 55 60 65 66 78 90 99 110 117 130 132 143 156 165 180 195 198 220 234 260 286 330 390 396 429 468 495 572 585 660 715 780 858 990 1170 1171 1287 1430 1716 1980 2145 2340 2342 2574 2860 3513 4290 4684 5148 5855 6435 7026 8580 10539 11710 12870 12881 14052 15223 17565 21078 23420 25740 25762 30446 35130 38643 42156 45669 51524 52695 60892 64405 70260 76115 77286 91338 105390 115929 128810 137007 152230 154572 167453 182676 193215 210780 228345 231858 257620 274014 304460 334906 386430 456690 463716 502359 548028 579645 669812 685035 772860 837265 913380 1004718 1159290 1370070 1507077 1674530 2009436 2318580 2511795 2740140 3014154 3349060 5023590 6028308 7535385 10047180 15070770 30141540