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1349627072 = 26712291297
BaseRepresentation
bin101000001110001…
…1010110011000000
310111001120011021212
41100130122303000
510231001031242
6341531105252
745305432543
oct12034326300
93431504255
101349627072
11632913882
12317ba2228
131867c2701
14cb35c85a
157d744782
hex5071acc0

1349627072 has 56 divisors (see below), whose sum is σ = 2729849760. Its totient is φ = 661893120.

The previous prime is 1349627039. The next prime is 1349627077. The reversal of 1349627072 is 2707269431.

It is not an unprimeable number, because it can be changed into a prime (1349627077) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1039928 + ... + 1041224.

Almost surely, 21349627072 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 1349627072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1364924880).

1349627072 is an abundant number, since it is smaller than the sum of its proper divisors (1380222688).

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

1349627072 is a wasteful number, since it uses less digits than its factorization.

1349627072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1609 (or 1599 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 41.

The square root of 1349627072 is about 36737.2708839402. The cubic root of 1349627072 is about 1105.1076714420.

The spelling of 1349627072 in words is "one billion, three hundred forty-nine million, six hundred twenty-seven thousand, seventy-two".

Divisors: 1 2 4 8 16 32 64 71 142 229 284 458 568 916 1136 1297 1832 2272 2594 3664 4544 5188 7328 10376 14656 16259 20752 32518 41504 65036 83008 92087 130072 184174 260144 297013 368348 520288 594026 736696 1040576 1188052 1473392 2376104 2946784 4752208 5893568 9504416 19008832 21087923 42175846 84351692 168703384 337406768 674813536 1349627072