Search a number
-
+
1336239072 = 25337220939
BaseRepresentation
bin100111110100101…
…0110001111100000
310110010100222102000
41033221112033200
510214034122242
6340332124000
745053562510
oct11751261740
93403328360
101336239072
116262aa213
12313606600
13183ab5a0c
14c9675840
157c49ca4c
hex4fa563e0

1336239072 has 96 divisors (see below), whose sum is σ = 4454150400. Its totient is φ = 381780864.

The previous prime is 1336239071. The next prime is 1336239131. The reversal of 1336239072 is 2709326331.

1336239072 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1336239071) 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, 104422 + ... + 116517.

It is an arithmetic number, because the mean of its divisors is an integer number (46397400).

Almost surely, 21336239072 is an apocalyptic number.

1336239072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1336239072 is an abundant number, since it is smaller than the sum of its proper divisors (3117911328).

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

1336239072 is a wasteful number, since it uses less digits than its factorization.

1336239072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220965 (or 220951 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 1336239072 is about 36554.6039781585. The cubic root of 1336239072 is about 1101.4413809901.

The spelling of 1336239072 in words is "one billion, three hundred thirty-six million, two hundred thirty-nine thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 504 672 756 864 1008 1512 2016 3024 6048 220939 441878 662817 883756 1325634 1546573 1767512 1988451 2651268 3093146 3535024 3976902 4639719 5302536 5965353 6186292 7070048 7953804 9279438 10605072 11930706 12372584 13919157 15907608 18558876 21210144 23861412 24745168 27838314 31815216 37117752 41757471 47722824 49490336 55676628 63630432 74235504 83514942 95445648 111353256 148471008 167029884 190891296 222706512 334059768 445413024 668119536 1336239072