Search a number
-
+
1272748896 = 253319314161
BaseRepresentation
bin100101111011100…
…1001101101100000
310021200220100021000
41023313021231200
510101310431041
6330143232000
743353121116
oct11367115540
93250810230
101272748896
115a34850a1
122b62a8600
131738b6273
14c1069ab6
1576b0abb6
hex4bdc9b60

1272748896 has 384 divisors, whose sum is σ = 4199731200. Its totient is φ = 373248000.

The previous prime is 1272748889. The next prime is 1272748921. The reversal of 1272748896 is 6988472721.

It is a happy number.

1272748896 is a `hidden beast` number, since 1 + 2 + 72 + 7 + 488 + 96 = 666.

1272748896 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20864706 + ... + 20864766.

It is an arithmetic number, because the mean of its divisors is an integer number (10936800).

Almost surely, 21272748896 is an apocalyptic number.

1272748896 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 1272748896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2099865600).

1272748896 is an abundant number, since it is smaller than the sum of its proper divisors (2926982304).

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

1272748896 is a wasteful number, since it uses less digits than its factorization.

1272748896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 157 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 54.

The square root of 1272748896 is about 35675.6064559525. The cubic root of 1272748896 is about 1083.7128999165.

The spelling of 1272748896 in words is "one billion, two hundred seventy-two million, seven hundred forty-eight thousand, eight hundred ninety-six".