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1385743840 = 255131733851
BaseRepresentation
bin101001010011000…
…1100010111100000
310120120112002011221
41102212030113200
510314222300330
6345301144424
746224425335
oct12246142740
93516462157
101385743840
11651241948
123280bb114
13191129890
14d208098c
15819cab7a
hex5298c5e0

1385743840 has 96 divisors (see below), whose sum is σ = 3546952416. Its totient is φ = 508569600.

The previous prime is 1385743837. The next prime is 1385743841. The reversal of 1385743840 is 483475831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1385743841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 357915 + ... + 361765.

It is an arithmetic number, because the mean of its divisors is an integer number (36947421).

Almost surely, 21385743840 is an apocalyptic number.

1385743840 is a gapful number since it is divisible by the number (10) 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 1385743840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1773476208).

1385743840 is an abundant number, since it is smaller than the sum of its proper divisors (2161208576).

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

1385743840 is a wasteful number, since it uses less digits than its factorization.

1385743840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4052 (or 4044 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 43.

The square root of 1385743840 is about 37225.5804521568. The cubic root of 1385743840 is about 1114.8787872550.

The spelling of 1385743840 in words is "one billion, three hundred eighty-five million, seven hundred forty-three thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 173 208 260 346 416 520 692 865 1040 1384 1730 2080 2249 2768 3460 3851 4498 5536 6920 7702 8996 11245 13840 15404 17992 19255 22490 27680 30808 35984 38510 44980 50063 61616 71968 77020 89960 100126 123232 154040 179920 200252 250315 308080 359840 400504 500630 616160 666223 801008 1001260 1332446 1602016 2002520 2664892 3331115 4005040 5329784 6662230 8010080 8660899 10659568 13324460 17321798 21319136 26648920 34643596 43304495 53297840 69287192 86608990 106595680 138574384 173217980 277148768 346435960 692871920 1385743840