Search a number
-
+
2151407904 = 253113198323
BaseRepresentation
bin1000000000111011…
…1110000100100000
312112221020211211020
42000032332010200
513401230023104
6553252045440
7104212444152
oct20016760440
95487224736
102151407904
11a04460668
12500603880
1328394a039
14165a2cad2
15c8d1e2d9
hex803be120

2151407904 has 48 divisors (see below), whose sum is σ = 5697451872. Its totient is φ = 710786048.

The previous prime is 2151407873. The next prime is 2151407927. The reversal of 2151407904 is 4097041512.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88314 + ... + 110009.

It is an arithmetic number, because the mean of its divisors is an integer number (118696914).

Almost surely, 22151407904 is an apocalyptic number.

2151407904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2151407904 is an abundant number, since it is smaller than the sum of its proper divisors (3546043968).

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

2151407904 is a wasteful number, since it uses less digits than its factorization.

2151407904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198449 (or 198441 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 2151407904 is about 46383.2718121523. The cubic root of 2151407904 is about 1290.9445446948.

The spelling of 2151407904 in words is "two billion, one hundred fifty-one million, four hundred seven thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 113 226 339 452 678 904 1356 1808 2712 3616 5424 10848 198323 396646 594969 793292 1189938 1586584 2379876 3173168 4759752 6346336 9519504 19039008 22410499 44820998 67231497 89641996 134462994 179283992 268925988 358567984 537851976 717135968 1075703952 2151407904