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1355275000 = 2355232357
BaseRepresentation
bin101000011000111…
…1101101011111000
310111110012002210101
41100301331223320
510233422300000
6342252125144
745404435032
oct12061755370
93443162711
101355275000
11636021192
12319a667b4
13187a1c391
14cbdccc52
157deace6a
hex50c7daf8

1355275000 has 96 divisors (see below), whose sum is σ = 3315725280. Its totient is φ = 518320000.

The previous prime is 1355274983. The next prime is 1355275013. The reversal of 1355275000 is 5725531.

It is a self number, because there is not a number n which added to its sum of digits gives 1355275000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 573822 + ... + 576178.

It is an arithmetic number, because the mean of its divisors is an integer number (34538805).

Almost surely, 21355275000 is an apocalyptic number.

1355275000 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 1355275000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1657862640).

1355275000 is an abundant number, since it is smaller than the sum of its proper divisors (1960450280).

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

1355275000 is an equidigital number, since it uses as much as digits as its factorization.

1355275000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2411 (or 2387 counting only the distinct ones).

The product of its (nonzero) digits is 5250, while the sum is 28.

The square root of 1355275000 is about 36814.0598141525. The cubic root of 1355275000 is about 1106.6470799424.

The spelling of 1355275000 in words is "one billion, three hundred fifty-five million, two hundred seventy-five thousand".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 125 184 200 230 250 460 500 575 625 920 1000 1150 1250 2300 2357 2500 2875 3125 4600 4714 5000 5750 6250 9428 11500 11785 12500 14375 18856 23000 23570 25000 28750 47140 54211 57500 58925 71875 94280 108422 115000 117850 143750 216844 235700 271055 287500 294625 433688 471400 542110 575000 589250 1084220 1178500 1355275 1473125 2168440 2357000 2710550 2946250 5421100 5892500 6776375 7365625 10842200 11785000 13552750 14731250 27105500 29462500 33881875 54211000 58925000 67763750 135527500 169409375 271055000 338818750 677637500 1355275000