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1272616740 = 223257070093
BaseRepresentation
bin100101111011010…
…1001011100100100
310021200122121222100
41023312221130210
510101242213430
6330140332100
743352030613
oct11366513444
93250577870
101272616740
115a33a487a
122b6244030
1317386b075
14c103387a
1576ad1960
hex4bda9724

1272616740 has 36 divisors (see below), whose sum is σ = 3860271324. Its totient is φ = 339364416.

The previous prime is 1272616733. The next prime is 1272616769. The reversal of 1272616740 is 476162721.

It can be written as a sum of positive squares in 2 ways, for example, as 946669824 + 325946916 = 30768^2 + 18054^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1272616695 and 1272616704.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3534867 + ... + 3535226.

It is an arithmetic number, because the mean of its divisors is an integer number (107229759).

Almost surely, 21272616740 is an apocalyptic number.

1272616740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1272616740 is an abundant number, since it is smaller than the sum of its proper divisors (2587654584).

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

1272616740 is a wasteful number, since it uses less digits than its factorization.

1272616740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7070108 (or 7070103 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 1272616740 is about 35673.7542179121. The cubic root of 1272616740 is about 1083.6753894749.

The spelling of 1272616740 in words is "one billion, two hundred seventy-two million, six hundred sixteen thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 7070093 14140186 21210279 28280372 35350465 42420558 63630837 70700930 84841116 106051395 127261674 141401860 212102790 254523348 318154185 424205580 636308370 1272616740