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1386075900 = 2235211676269
BaseRepresentation
bin101001010011101…
…1101011011111100
310120121010221200110
41102213131123330
510314313412100
6345312230020
746230310416
oct12247353374
93517127613
101386075900
11651449380
1232823b310
13191214a71
14d21299b6
1581a44250
hex529dd6fc

1386075900 has 144 divisors (see below), whose sum is σ = 4440965760. Its totient is φ = 330950400.

The previous prime is 1386075881. The next prime is 1386075931. The reversal of 1386075900 is 95706831.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 217966 + ... + 224234.

It is an arithmetic number, because the mean of its divisors is an integer number (30840040).

Almost surely, 21386075900 is an apocalyptic number.

1386075900 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 1386075900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2220482880).

1386075900 is an abundant number, since it is smaller than the sum of its proper divisors (3054889860).

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

1386075900 is a wasteful number, since it uses less digits than its factorization.

1386075900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6364 (or 6357 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 1386075900 is about 37230.0402900668. The cubic root of 1386075900 is about 1114.9678313897.

The spelling of 1386075900 in words is "one billion, three hundred eighty-six million, seventy-five thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 67 75 100 110 132 134 150 165 201 220 268 275 300 330 335 402 550 660 670 737 804 825 1005 1100 1340 1474 1650 1675 2010 2211 2948 3300 3350 3685 4020 4422 5025 6269 6700 7370 8844 10050 11055 12538 14740 18425 18807 20100 22110 25076 31345 36850 37614 44220 55275 62690 68959 73700 75228 94035 110550 125380 137918 156725 188070 206877 221100 275836 313450 344795 376140 413754 420023 470175 626900 689590 827508 840046 940350 1034385 1260069 1379180 1680092 1723975 1880700 2068770 2100115 2520138 3447950 4137540 4200230 4620253 5040276 5171925 6300345 6895900 8400460 9240506 10343850 10500575 12600690 13860759 18481012 20687700 21001150 23101265 25201380 27721518 31501725 42002300 46202530 55443036 63003450 69303795 92405060 115506325 126006900 138607590 231012650 277215180 346518975 462025300 693037950 1386075900