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1027242240 = 2835267511
BaseRepresentation
bin111101001110100…
…111100100000000
32122120221022102220
4331032213210000
54100433222430
6245533211040
734312262223
oct7516474400
92576838386
101027242240
11487940332
12248030a80
13134a87b5b
149a5dd5ba
15602b3110
hex3d3a7900

1027242240 has 72 divisors (see below), whose sum is σ = 3280767168. Its totient is φ = 273930240.

The previous prime is 1027242233. The next prime is 1027242247. The reversal of 1027242240 is 422427201.

1027242240 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1027242233) and next prime (1027242247).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1027242240.

It is not an unprimeable number, because it can be changed into a prime (1027242247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 129916 + ... + 137595.

Almost surely, 21027242240 is an apocalyptic number.

1027242240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1027242240 is an abundant number, since it is smaller than the sum of its proper divisors (2253524928).

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

1027242240 is an equidigital number, since it uses as much as digits as its factorization.

1027242240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267535 (or 267521 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 24.

The square root of 1027242240 is about 32050.6199628026. The cubic root of 1027242240 is about 1008.9995124813. Note that the first 3 decimals are identical.

Adding to 1027242240 its reverse (422427201), we get a palindrome (1449669441).

The spelling of 1027242240 in words is "one billion, twenty-seven million, two hundred forty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 3840 267511 535022 802533 1070044 1337555 1605066 2140088 2675110 3210132 4012665 4280176 5350220 6420264 8025330 8560352 10700440 12840528 16050660 17120704 21400880 25681056 32101320 34241408 42801760 51362112 64202640 68482816 85603520 102724224 128405280 171207040 205448448 256810560 342414080 513621120 1027242240