Search a number
-
+
15300144540 = 2233537765773
BaseRepresentation
bin11100011111111010…
…11010110110011100
31110111021220212121000
432033331122312130
5222313314111130
611010115110300
71051103040252
oct161775326634
943437825530
1015300144540
11654159505a
122b6bba2390
13159aa97885
14a520345d2
155e8351260
hex38ff5ad9c

15300144540 has 96 divisors (see below), whose sum is σ = 48887012160. Its totient is φ = 3969762048.

The previous prime is 15300144527. The next prime is 15300144641. The reversal of 15300144540 is 4544100351.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 362907 + ... + 402866.

It is an arithmetic number, because the mean of its divisors is an integer number (509239710).

Almost surely, 215300144540 is an apocalyptic number.

15300144540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

15300144540 is an abundant number, since it is smaller than the sum of its proper divisors (33586867620).

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

15300144540 is a wasteful number, since it uses less digits than its factorization.

15300144540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765828 (or 765820 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 15300144540 its reverse (4544100351), we get a palindrome (19844244891).

The spelling of 15300144540 in words is "fifteen billion, three hundred million, one hundred forty-four thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 37 45 54 60 74 90 108 111 135 148 180 185 222 270 333 370 444 540 555 666 740 999 1110 1332 1665 1998 2220 3330 3996 4995 6660 9990 19980 765773 1531546 2297319 3063092 3828865 4594638 6891957 7657730 9189276 11486595 13783914 15315460 20675871 22973190 27567828 28333601 34459785 41351742 45946380 56667202 68919570 82703484 85000803 103379355 113334404 137839140 141668005 170001606 206758710 255002409 283336010 340003212 413517420 425004015 510004818 566672020 765007227 850008030 1020009636 1275012045 1530014454 1700016060 2550024090 3060028908 3825036135 5100048180 7650072270 15300144540