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1027050240 = 28351715733
BaseRepresentation
bin111101001101111…
…000101100000000
32122120120120001210
4331031320230000
54100411101430
6245525130120
734310532366
oct7515705400
92576516053
101027050240
1148781a057
12247b59940
13134a1b648
149a58d636
15602762b0
hex3d378b00

1027050240 has 144 divisors (see below), whose sum is σ = 3473311968. Its totient is φ = 257753088.

The previous prime is 1027050221. The next prime is 1027050247. The reversal of 1027050240 is 420507201.

It is not an unprimeable number, because it can be changed into a prime (1027050247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57414 + ... + 73146.

It is an arithmetic number, because the mean of its divisors is an integer number (24120222).

Almost surely, 21027050240 is an apocalyptic number.

1027050240 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 1027050240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1736655984).

1027050240 is an abundant number, since it is smaller than the sum of its proper divisors (2446261728).

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

1027050240 is a wasteful number, since it uses less digits than its factorization.

1027050240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15774 (or 15760 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 1027050240 is about 32047.6245609562. The cubic root of 1027050240 is about 1008.9366451361.

Adding to 1027050240 its reverse (420507201), we get a palindrome (1447557441).

The spelling of 1027050240 in words is "one billion, twenty-seven million, fifty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 128 136 160 170 192 204 240 255 256 272 320 340 384 408 480 510 544 640 680 768 816 960 1020 1088 1280 1360 1632 1920 2040 2176 2720 3264 3840 4080 4352 5440 6528 8160 10880 13056 15733 16320 21760 31466 32640 47199 62932 65280 78665 94398 125864 157330 188796 235995 251728 267461 314660 377592 471990 503456 534922 629320 755184 802383 943980 1006912 1069844 1258640 1337305 1510368 1604766 1887960 2013824 2139688 2517280 2674610 3020736 3209532 3775920 4011915 4027648 4279376 5034560 5349220 6041472 6419064 7551840 8023830 8558752 10069120 10698440 12082944 12838128 15103680 16047660 17117504 20138240 21396880 25676256 30207360 32095320 34235008 42793760 51352512 60414720 64190640 68470016 85587520 102705024 128381280 171175040 205410048 256762560 342350080 513525120 1027050240