Search a number
-
+
1421288704 = 28115389107
BaseRepresentation
bin101010010110111…
…0010010100000000
310200001101221120101
41110231302110000
510402322214304
6353011052144
750135516563
oct12455622400
93601357511
101421288704
1166a30a270
12337ba1054
131985c3644
14d6a944da
1584b9c8a4
hex54b72500

1421288704 has 144 divisors (see below), whose sum is σ = 3218564160. Its totient is φ = 620871680.

The previous prime is 1421288683. The next prime is 1421288707. The reversal of 1421288704 is 4078821241.

It is a happy number.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1421288707) 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, 13283019 + ... + 13283125.

It is an arithmetic number, because the mean of its divisors is an integer number (22351140).

Almost surely, 21421288704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1421288704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1609282080).

1421288704 is an abundant number, since it is smaller than the sum of its proper divisors (1797275456).

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

1421288704 is a wasteful number, since it uses less digits than its factorization.

1421288704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 37.

The square root of 1421288704 is about 37699.9828116672. The cubic root of 1421288704 is about 1124.3307832896.

The spelling of 1421288704 in words is "one billion, four hundred twenty-one million, two hundred eighty-eight thousand, seven hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 53 64 88 89 106 107 128 176 178 212 214 256 352 356 424 428 583 704 712 848 856 979 1166 1177 1408 1424 1696 1712 1958 2332 2354 2816 2848 3392 3424 3916 4664 4708 4717 5671 5696 6784 6848 7832 9328 9416 9434 9523 11342 11392 13568 13696 15664 18656 18832 18868 19046 22684 22784 27392 31328 37312 37664 37736 38092 45368 51887 62381 62656 74624 75328 75472 76184 90736 103774 104753 124762 125312 149248 150656 150944 152368 181472 207548 209506 249524 250624 301312 301888 304736 362944 415096 419012 499048 504719 603776 609472 725888 830192 838024 998096 1009438 1207552 1218944 1451776 1660384 1676048 1996192 2018876 2437888 3320768 3352096 3992384 4037752 5551909 6641536 6704192 7984768 8075504 11103818 13283072 13408384 15969536 16151008 22207636 26816768 32302016 44415272 64604032 88830544 129208064 177661088 355322176 710644352 1421288704