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1381640568 = 2337114317387
BaseRepresentation
bin101001001011010…
…0010100101111000
310120021210121112220
41102112202211320
510312144444233
6345033204040
746144515420
oct12226424570
93507717486
101381640568
1164999a010
12326860620
13190320cc9
14d16d3480
1581469eb3
hex525a2978

1381640568 has 128 divisors (see below), whose sum is σ = 4406814720. Its totient is φ = 350501760.

The previous prime is 1381640563. The next prime is 1381640573. The reversal of 1381640568 is 8650461831.

It is an interprime number because it is at equal distance from previous prime (1381640563) and next prime (1381640573).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1381640563) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70771 + ... + 88157.

It is an arithmetic number, because the mean of its divisors is an integer number (34428240).

Almost surely, 21381640568 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 1381640568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2203407360).

1381640568 is an abundant number, since it is smaller than the sum of its proper divisors (3025174152).

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

1381640568 is a wasteful number, since it uses less digits than its factorization.

1381640568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17457 (or 17453 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 1381640568 is about 37170.4259862596. The cubic root of 1381640568 is about 1113.7772913183. Note that the first 3 decimals are identical.

The spelling of 1381640568 in words is "one billion, three hundred eighty-one million, six hundred forty thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 43 44 56 66 77 84 86 88 129 132 154 168 172 231 258 264 301 308 344 462 473 516 602 616 903 924 946 1032 1204 1419 1806 1848 1892 2408 2838 3311 3612 3784 5676 6622 7224 9933 11352 13244 17387 19866 26488 34774 39732 52161 69548 79464 104322 121709 139096 191257 208644 243418 365127 382514 417288 486836 573771 730254 747641 765028 973672 1147542 1338799 1460508 1495282 1530056 2242923 2295084 2677598 2921016 2990564 4016397 4485846 4590168 5233487 5355196 5981128 8032794 8224051 8971692 10466974 10710392 15700461 16065588 16448102 17943384 20933948 24672153 31400922 32131176 32896204 41867896 49344306 57568357 62801844 65792408 98688612 115136714 125603688 172705071 197377224 230273428 345410142 460546856 690820284 1381640568