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1270739664 = 243417137421
BaseRepresentation
bin100101110111101…
…1111001011010000
310021120010021010000
41023233133023100
510100302132124
6330032210000
743330052235
oct11357371320
93246107100
101270739664
115a2332577
122b5699900
1317336187c
14c0aa578c
15768606c9
hex4bbdf2d0

1270739664 has 200 divisors, whose sum is σ = 3931978248. Its totient is φ = 394813440.

The previous prime is 1270739653. The next prime is 1270739683. The reversal of 1270739664 is 4669370721.

It can be written as a sum of positive squares in 4 ways, for example, as 63872064 + 1206867600 = 7992^2 + 34740^2 .

It is a super-2 number, since 2×12707396642 = 3229558587325665792, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3018174 + ... + 3018594.

Almost surely, 21270739664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1270739664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1965989124).

1270739664 is an abundant number, since it is smaller than the sum of its proper divisors (2661238584).

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

1270739664 is a wasteful number, since it uses less digits than its factorization.

1270739664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 1270739664 is about 35647.4355879915. The cubic root of 1270739664 is about 1083.1423298026.

The spelling of 1270739664 in words is "one billion, two hundred seventy million, seven hundred thirty-nine thousand, six hundred sixty-four".