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1385477940 = 2235721142841
BaseRepresentation
bin101001010010100…
…1011011100110100
310120120000120102210
41102211023130310
510314140243230
6345251333420
746222240200
oct12245133464
93516016383
101385477940
116510800a0
12327bb1270
13191065842
14d2011b00
1581976eb0
hex5294b734

1385477940 has 144 divisors (see below), whose sum is σ = 4923059904. Its totient is φ = 287884800.

The previous prime is 1385477927. The next prime is 1385477941. The reversal of 1385477940 is 497745831.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1385477940.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1385477941) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10920 + ... + 53760.

It is an arithmetic number, because the mean of its divisors is an integer number (34187916).

Almost surely, 21385477940 is an apocalyptic number.

1385477940 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 1385477940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2461529952).

1385477940 is an abundant number, since it is smaller than the sum of its proper divisors (3537581964).

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

1385477940 is a wasteful number, since it uses less digits than its factorization.

1385477940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42878 (or 42869 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The square root of 1385477940 is about 37222.0088119919. The cubic root of 1385477940 is about 1114.8074741152.

The spelling of 1385477940 in words is "one billion, three hundred eighty-five million, four hundred seventy-seven thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 28 30 33 35 42 44 49 55 60 66 70 77 84 98 105 110 132 140 147 154 165 196 210 220 231 245 294 308 330 385 420 462 490 539 588 660 735 770 924 980 1078 1155 1470 1540 1617 2156 2310 2695 2940 3234 4620 5390 6468 8085 10780 16170 32340 42841 85682 128523 171364 214205 257046 299887 428410 471251 514092 599774 642615 856820 899661 942502 1199548 1285230 1413753 1499435 1799322 1885004 2099209 2356255 2570460 2827506 2998870 3298757 3598644 4198418 4498305 4712510 5655012 5997740 6297627 6597514 7068765 8396836 8996610 9425020 9896271 10496045 12595254 13195028 14137530 16493785 17993220 19792542 20992090 23091299 25190508 28275060 31488135 32987570 39585084 41984180 46182598 49481355 62976270 65975140 69273897 92365196 98962710 115456495 125952540 138547794 197925420 230912990 277095588 346369485 461825980 692738970 1385477940