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1339267216 = 247213072
BaseRepresentation
bin100111111010011…
…1001100010010000
310110100001211020111
41033310321202100
510220323022331
6340521051104
745121404100
oct11764714220
93410054214
101339267216
11627a88311
12314626a94
13184606111
14c9c23200
157c899db1
hex4fd39890

1339267216 has 45 divisors (see below), whose sum is σ = 3020787219. Its totient is φ = 573532512.

The previous prime is 1339267211. The next prime is 1339267247. The reversal of 1339267216 is 6127629331.

It is a happy number.

The square root of 1339267216 is 36596.

It is a perfect power (a square), and thus also a powerful number.

It is a super-4 number, since 4×13392672164 (a number of 38 digits) contains 4444 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1339267211) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1024035 + ... + 1025341.

Almost surely, 21339267216 is an apocalyptic number.

1339267216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1339267216 is the 36596-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1339267216

1339267216 is an abundant number, since it is smaller than the sum of its proper divisors (1681520003).

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

1339267216 is an frugal number, since it uses more digits than its factorization.

1339267216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2636 (or 1316 counting only the distinct ones).

The product of its digits is 81648, while the sum is 40.

The cubic root of 1339267216 is about 1102.2727708408.

It can be divided in two parts, 13392 and 67216, that added together give a palindrome (80608).

The spelling of 1339267216 in words is "one billion, three hundred thirty-nine million, two hundred sixty-seven thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 1307 2614 5228 9149 10456 18298 20912 36596 64043 73192 128086 146384 256172 512344 1024688 1708249 3416498 6832996 11957743 13665992 23915486 27331984 47830972 83704201 95661944 167408402 191323888 334816804 669633608 1339267216