Search a number
-
+
1315388256 = 253713150571
BaseRepresentation
bin100111001100111…
…0011101101100000
310101200010122110120
41032121303231200
510143214411011
6334305200240
744411421120
oct11631635540
93350118416
101315388256
11615558736
12308630080
1317c695260
14c69a8c80
157a72ea06
hex4e673b60

1315388256 has 96 divisors (see below), whose sum is σ = 4249744128. Its totient is φ = 346913280.

The previous prime is 1315388251. The next prime is 1315388267. The reversal of 1315388256 is 6528835131.

1315388256 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1315388251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66550 + ... + 84021.

It is an arithmetic number, because the mean of its divisors is an integer number (44268168).

Almost surely, 21315388256 is an apocalyptic number.

1315388256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1315388256 is an abundant number, since it is smaller than the sum of its proper divisors (2934355872).

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

1315388256 is a wasteful number, since it uses less digits than its factorization.

1315388256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150604 (or 150596 counting only the distinct ones).

The product of its digits is 172800, while the sum is 42.

The square root of 1315388256 is about 36268.2816797267. The cubic root of 1315388256 is about 1095.6823186400.

The spelling of 1315388256 in words is "one billion, three hundred fifteen million, three hundred eighty-eight thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 78 84 91 96 104 112 156 168 182 208 224 273 312 336 364 416 546 624 672 728 1092 1248 1456 2184 2912 4368 8736 150571 301142 451713 602284 903426 1053997 1204568 1806852 1957423 2107994 2409136 3161991 3613704 3914846 4215988 4818272 5872269 6323982 7227408 7829692 8431976 11744538 12647964 13701961 14454816 15659384 16863952 23489076 25295928 27403922 31318768 33727904 41105883 46978152 50591856 54807844 62637536 82211766 93956304 101183712 109615688 164423532 187912608 219231376 328847064 438462752 657694128 1315388256