Search a number
-
+
1269408072 = 233211250673
BaseRepresentation
bin100101110101001…
…1010000101001000
310021110121121111210
41023222122011020
510044432024242
6325543453120
743312535112
oct11352320510
93243547453
101269408072
115a1603089
122b51571a0
13172cb674a
14c083a3b2
157669ad9c
hex4ba9a148

1269408072 has 32 divisors (see below), whose sum is σ = 3188573280. Its totient is φ = 421128960.

The previous prime is 1269408047. The next prime is 1269408073. The reversal of 1269408072 is 2708049621.

It is a super-2 number, since 2×12694080722 = 3222793706517514368, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1269408072.

It is not an unprimeable number, because it can be changed into a prime (1269408073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 120273 + ... + 130400.

It is an arithmetic number, because the mean of its divisors is an integer number (99642915).

Almost surely, 21269408072 is an apocalyptic number.

1269408072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1269408072 is an abundant number, since it is smaller than the sum of its proper divisors (1919165208).

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

1269408072 is a wasteful number, since it uses less digits than its factorization.

1269408072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250893 (or 250889 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 1269408072 is about 35628.7534443741. The cubic root of 1269408072 is about 1082.7638605310.

The spelling of 1269408072 in words is "one billion, two hundred sixty-nine million, four hundred eight thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 24 211 422 633 844 1266 1688 2532 5064 250673 501346 752019 1002692 1504038 2005384 3008076 6016152 52892003 105784006 158676009 211568012 317352018 423136024 634704036 1269408072