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1387723368 = 2331921114423
BaseRepresentation
bin101001010110110…
…1111101001101000
310120201020122120210
41102231233221220
510320224121433
6345411421120
746250311503
oct12255575150
93521218523
101387723368
11652374119
123288b47a0
131916708b5
14d243813a
1581c6c463
hex52b6fa68

1387723368 has 64 divisors (see below), whose sum is σ = 3669465600. Its totient is φ = 436121280.

The previous prime is 1387723321. The next prime is 1387723427. The reversal of 1387723368 is 8633277831.

It is a super-3 number, since 3×13877233683 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89005 + ... + 103427.

It is an arithmetic number, because the mean of its divisors is an integer number (57335400).

Almost surely, 21387723368 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 1387723368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1834732800).

1387723368 is an abundant number, since it is smaller than the sum of its proper divisors (2281742232).

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

1387723368 is a wasteful number, since it uses less digits than its factorization.

1387723368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14662 (or 14658 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 48.

The square root of 1387723368 is about 37252.1592394320. The cubic root of 1387723368 is about 1115.4094008939.

The spelling of 1387723368 in words is "one billion, three hundred eighty-seven million, seven hundred twenty-three thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 211 228 422 456 633 844 1266 1688 2532 4009 5064 8018 12027 14423 16036 24054 28846 32072 43269 48108 57692 86538 96216 115384 173076 274037 346152 548074 822111 1096148 1644222 2192296 3043253 3288444 6086506 6576888 9129759 12173012 18259518 24346024 36519036 57821807 73038072 115643614 173465421 231287228 346930842 462574456 693861684 1387723368