Search a number
-
+
15435042240 = 263516078169
BaseRepresentation
bin11100110000000000…
…00000110111000000
31110211200202101110010
432120000000313000
5223102332322430
611031334304520
71054331460102
oct163000006700
943750671403
1015435042240
116600751762
122ba91b8140
1315bca096b7
14a65d0b572
156050eacb0
hex398000dc0

15435042240 has 56 divisors (see below), whose sum is σ = 49006262160. Its totient is φ = 4116011008.

The previous prime is 15435042223. The next prime is 15435042251. The reversal of 15435042240 is 4224053451.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 15435042198 and 15435042207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8038125 + ... + 8040044.

Almost surely, 215435042240 is an apocalyptic number.

15435042240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

15435042240 is an abundant number, since it is smaller than the sum of its proper divisors (33571219920).

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

15435042240 is a wasteful number, since it uses less digits than its factorization.

15435042240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16078189 (or 16078179 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 15435042240 its reverse (4224053451), we get a palindrome (19659095691).

The spelling of 15435042240 in words is "fifteen billion, four hundred thirty-five million, forty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 16078169 32156338 48234507 64312676 80390845 96469014 128625352 160781690 192938028 241172535 257250704 321563380 385876056 482345070 514501408 643126760 771752112 964690140 1029002816 1286253520 1543504224 1929380280 2572507040 3087008448 3858760560 5145014080 7717521120 15435042240