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12007240 = 2357193761
BaseRepresentation
bin101101110011…
…011101001000
3211121000211121
4231303131020
511033212430
61105205024
7204026350
oct55633510
924530747
1012007240
116861243
124030774
13264539b
141847b60
1510c2a7a
hexb73748

12007240 has 128 divisors (see below), whose sum is σ = 33926400. Its totient is φ = 3732480.

The previous prime is 12007223. The next prime is 12007291. The reversal of 12007240 is 4270021.

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, 196810 + ... + 196870.

It is an arithmetic number, because the mean of its divisors is an integer number (265050).

Almost surely, 212007240 is an apocalyptic number.

12007240 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 12007240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16963200).

12007240 is an abundant number, since it is smaller than the sum of its proper divisors (21919160).

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

12007240 is a wasteful number, since it uses less digits than its factorization.

12007240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 16.

The square root of 12007240 is about 3465.1464615511. The cubic root of 12007240 is about 228.9888822047.

Adding to 12007240 its reverse (4270021), we get a palindrome (16277261).

The spelling of 12007240 in words is "twelve million, seven thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 37 38 40 56 61 70 74 76 95 122 133 140 148 152 185 190 244 259 266 280 296 305 370 380 427 488 518 532 610 665 703 740 760 854 1036 1064 1159 1220 1295 1330 1406 1480 1708 2072 2135 2257 2318 2440 2590 2660 2812 3416 3515 4270 4514 4636 4921 5180 5320 5624 5795 7030 8113 8540 9028 9272 9842 10360 11285 11590 14060 15799 16226 17080 18056 19684 22570 23180 24605 28120 31598 32452 39368 40565 42883 45140 46360 49210 63196 64904 78995 81130 85766 90280 98420 126392 157990 162260 171532 196840 214415 300181 315980 324520 343064 428830 600362 631960 857660 1200724 1500905 1715320 2401448 3001810 6003620 12007240