Search a number
-
+
1288421376 = 2143112383
BaseRepresentation
bin100110011001011…
…1100000000000000
310022210101120212020
41030302330000000
510114313441001
6331503201440
743633254354
oct11462740000
93283346766
101288421376
1160130a060
122bb5a6280
13176c12a18
14c3189464
15781a4736
hex4ccbc000

1288421376 has 120 divisors (see below), whose sum is σ = 3749593344. Its totient is φ = 390266880.

The previous prime is 1288421371. The next prime is 1288421401. The reversal of 1288421376 is 6731248821.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1288421371) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 539481 + ... + 541863.

Almost surely, 21288421376 is an apocalyptic number.

1288421376 is a gapful number since it is divisible by the number (16) 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 1288421376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1874796672).

1288421376 is an abundant number, since it is smaller than the sum of its proper divisors (2461171968).

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

1288421376 is an equidigital number, since it uses as much as digits as its factorization.

1288421376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2425 (or 2399 counting only the distinct ones).

The product of its digits is 129024, while the sum is 42.

The square root of 1288421376 is about 35894.5870013850. The cubic root of 1288421376 is about 1088.1430031180.

The spelling of 1288421376 in words is "one billion, two hundred eighty-eight million, four hundred twenty-one thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 768 1024 1056 1408 1536 2048 2112 2383 2816 3072 4096 4224 4766 5632 6144 7149 8192 8448 9532 11264 12288 14298 16384 16896 19064 22528 24576 26213 28596 33792 38128 45056 49152 52426 57192 67584 76256 78639 90112 104852 114384 135168 152512 157278 180224 209704 228768 270336 305024 314556 419408 457536 540672 610048 629112 838816 915072 1220096 1258224 1677632 1830144 2440192 2516448 3355264 3660288 4880384 5032896 6710528 7320576 9760768 10065792 13421056 14641152 19521536 20131584 26842112 29282304 39043072 40263168 53684224 58564608 80526336 107368448 117129216 161052672 214736896 322105344 429473792 644210688 1288421376