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1332120240 = 2432511168197
BaseRepresentation
bin100111101100110…
…1000101010110000
310102211121201102200
41033121220222300
510212010321430
6340103543200
745003556323
oct11731505260
93384551380
101332120240
11623a46720
1231215ab00
13182ca3039
14c8cc27ba
157be37460
hex4f668ab0

1332120240 has 120 divisors (see below), whose sum is σ = 4880433168. Its totient is φ = 322936320.

The previous prime is 1332120173. The next prime is 1332120253. The reversal of 1332120240 is 420212331.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76179 + ... + 92018.

Almost surely, 21332120240 is an apocalyptic number.

1332120240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1332120240 is an abundant number, since it is smaller than the sum of its proper divisors (3548312928).

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

1332120240 is a wasteful number, since it uses less digits than its factorization.

1332120240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168227 (or 168218 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1332120240 is about 36498.2224224687. Note that the first 3 decimals coincide. The cubic root of 1332120240 is about 1100.3085195213.

Adding to 1332120240 its reverse (420212331), we get a palindrome (1752332571).

The spelling of 1332120240 in words is "one billion, three hundred thirty-two million, one hundred twenty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 33 36 40 44 45 48 55 60 66 72 80 88 90 99 110 120 132 144 165 176 180 198 220 240 264 330 360 396 440 495 528 660 720 792 880 990 1320 1584 1980 2640 3960 7920 168197 336394 504591 672788 840985 1009182 1345576 1513773 1681970 1850167 2018364 2522955 2691152 3027546 3363940 3700334 4036728 5045910 5550501 6055092 6727880 7400668 7568865 8073456 9250835 10091820 11101002 12110184 13455760 14801336 15137730 16651503 18501670 20183640 22202004 24220368 27752505 29602672 30275460 33303006 37003340 40367280 44404008 55505010 60550920 66606012 74006680 83257515 88808016 111010020 121101840 133212024 148013360 166515030 222020040 266424048 333030060 444040080 666060120 1332120240