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1365238644 = 223711312211
BaseRepresentation
bin101000101011111…
…1110001101110100
310112010221022100020
41101113332031310
510244000114034
6343245445140
745555223410
oct12127761564
93463838306
101365238644
11640707000
123212707b0
13189aca523
14cd463d40
157ecca249
hex515fe374

1365238644 has 96 divisors (see below), whose sum is σ = 4004754432. Its totient is φ = 354578400.

The previous prime is 1365238631. The next prime is 1365238661. The reversal of 1365238644 is 4468325631.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1365238596 and 1365238605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105699 + ... + 117909.

It is an arithmetic number, because the mean of its divisors is an integer number (41716192).

Almost surely, 21365238644 is an apocalyptic number.

1365238644 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1365238644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2002377216).

1365238644 is an abundant number, since it is smaller than the sum of its proper divisors (2639515788).

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

1365238644 is a wasteful number, since it uses less digits than its factorization.

1365238644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12258 (or 12234 counting only the distinct ones).

The product of its digits is 414720, while the sum is 42.

The square root of 1365238644 is about 36949.1359032928. The cubic root of 1365238644 is about 1109.3523923069.

The spelling of 1365238644 in words is "one billion, three hundred sixty-five million, two hundred thirty-eight thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 121 132 154 231 242 308 363 462 484 726 847 924 1331 1452 1694 2541 2662 3388 3993 5082 5324 7986 9317 10164 12211 15972 18634 24422 27951 36633 37268 48844 55902 73266 85477 111804 134321 146532 170954 256431 268642 341908 402963 512862 537284 805926 940247 1025724 1477531 1611852 1880494 2820741 2955062 3760988 4432593 5641482 5910124 8865186 10342717 11282964 16252841 17730372 20685434 31028151 32505682 41370868 48758523 62056302 65011364 97517046 113769887 124112604 195034092 227539774 341309661 455079548 682619322 1365238644