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1385568240 = 243575211583
BaseRepresentation
bin101001010010110…
…0001011111110000
310120120012011022020
41102211201133300
510314201140430
6345253311440
746223064360
oct12245413760
93516164266
101385568240
11651131a21
12328035580
13191097984
14d20369a0
1581993b10
hex529617f0

1385568240 has 160 divisors (see below), whose sum is σ = 4921399296. Its totient is φ = 315893760.

The previous prime is 1385568229. The next prime is 1385568253. The reversal of 1385568240 is 428655831.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

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 = 1385568192 and 1385568201.

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, 874489 + ... + 876071.

Almost surely, 21385568240 is an apocalyptic number.

1385568240 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 1385568240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2460699648).

1385568240 is an abundant number, since it is smaller than the sum of its proper divisors (3535831056).

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

1385568240 is a wasteful number, since it uses less digits than its factorization.

1385568240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2127 (or 2121 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

The square root of 1385568240 is about 37223.2217842572. The cubic root of 1385568240 is about 1114.8316931771.

The spelling of 1385568240 in words is "one billion, three hundred eighty-five million, five hundred sixty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 521 560 840 1042 1563 1583 1680 2084 2605 3126 3166 3647 4168 4749 5210 6252 6332 7294 7815 7915 8336 9498 10420 10941 11081 12504 12664 14588 15630 15830 18235 18996 20840 21882 22162 23745 25008 25328 29176 31260 31660 33243 36470 37992 41680 43764 44324 47490 54705 55405 58352 62520 63320 66486 72940 75984 87528 88648 94980 109410 110810 125040 126640 132972 145880 166215 175056 177296 189960 218820 221620 265944 291760 332430 379920 437640 443240 531888 664860 824743 875280 886480 1329720 1649486 2474229 2659440 3298972 4123715 4948458 5773201 6597944 8247430 9896916 11546402 12371145 13195888 16494860 17319603 19793832 23092804 24742290 28866005 32989720 34639206 39587664 46185608 49484580 57732010 65979440 69278412 86598015 92371216 98969160 115464020 138556824 173196030 197938320 230928040 277113648 346392060 461856080 692784120 1385568240