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11995800240 = 24351031273821
BaseRepresentation
bin10110010110000000…
…10110001010110000
31010222000012210100210
423023000112022300
5144031411101430
65302155344120
7603160422354
oct131300261260
933860183323
1011995800240
1150a63532a6
1223a9452040
131192324068
1481b247464
154a31e12b0
hex2cb0162b0

11995800240 has 160 divisors (see below), whose sum is σ = 37853577216. Its totient is φ = 3142056960.

The previous prime is 11995800227. The next prime is 11995800293. The reversal of 11995800240 is 4200859911.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3137530 + ... + 3141350.

Almost surely, 211995800240 is an apocalyptic number.

11995800240 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 11995800240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18926788608).

11995800240 is an abundant number, since it is smaller than the sum of its proper divisors (25857776976).

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

11995800240 is a wasteful number, since it uses less digits than its factorization.

11995800240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4067 (or 4061 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 39.

The spelling of 11995800240 in words is "eleven billion, nine hundred ninety-five million, eight hundred thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 103 120 127 206 240 254 309 381 412 508 515 618 635 762 824 1016 1030 1236 1270 1524 1545 1648 1905 2032 2060 2472 2540 3048 3090 3810 3821 4120 4944 5080 6096 6180 7620 7642 8240 10160 11463 12360 13081 15240 15284 19105 22926 24720 26162 30480 30568 38210 39243 45852 52324 57315 61136 65405 76420 78486 91704 104648 114630 130810 152840 156972 183408 196215 209296 229260 261620 305680 313944 392430 393563 458520 485267 523240 627888 784860 787126 917040 970534 1046480 1180689 1455801 1569720 1574252 1941068 1967815 2361378 2426335 2911602 3139440 3148504 3882136 3935630 4722756 4852670 5823204 5903445 6297008 7279005 7764272 7871260 9445512 9705340 11646408 11806890 14558010 15742520 18891024 19410680 23292816 23613780 29116020 31485040 38821360 47227560 49982501 58232040 94455120 99965002 116464080 149947503 199930004 249912505 299895006 399860008 499825010 599790012 749737515 799720016 999650020 1199580024 1499475030 1999300040 2399160048 2998950060 3998600080 5997900120 11995800240