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1896042240 = 28325164587
BaseRepresentation
bin111000100000011…
…0100111100000000
311220010201220222200
41301000310330000
512340341322430
6512050433200
764662043641
oct16100647400
94803656880
101896042240
118932a2664
1244ab92800
13242a792b1
1413db576c8
15b16ca460
hex71034f00

1896042240 has 108 divisors (see below), whose sum is σ = 6560148504. Its totient is φ = 505608192.

The previous prime is 1896042223. The next prime is 1896042241. The reversal of 1896042240 is 422406981.

1896042240 is a `hidden beast` number, since 1 + 8 + 9 + 604 + 2 + 2 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1896042195 and 1896042204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1896042241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70774 + ... + 93813.

Almost surely, 21896042240 is an apocalyptic number.

1896042240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1896042240 is an abundant number, since it is smaller than the sum of its proper divisors (4664106264).

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

1896042240 is a wasteful number, since it uses less digits than its factorization.

1896042240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164614 (or 164597 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1896042240 is about 43543.5671483171. The cubic root of 1896042240 is about 1237.7017436623.

It can be divided in two parts, 189604 and 2240, that added together give a square (191844 = 4382).

The spelling of 1896042240 in words is "one billion, eight hundred ninety-six million, forty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 576 640 720 768 960 1152 1280 1440 1920 2304 2880 3840 5760 11520 164587 329174 493761 658348 822935 987522 1316696 1481283 1645870 1975044 2468805 2633392 2962566 3291740 3950088 4937610 5266784 5925132 6583480 7406415 7900176 9875220 10533568 11850264 13166960 14812830 15800352 19750440 21067136 23700528 26333920 29625660 31600704 39500880 42134272 47401056 52667840 59251320 63201408 79001760 94802112 105335680 118502640 126402816 158003520 189604224 210671360 237005280 316007040 379208448 474010560 632014080 948021120 1896042240