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20120240 = 2457193161
BaseRepresentation
bin100110011000…
…0001010110000
31101212012210002
41030300022300
520122321430
61555125132
7333006410
oct114601260
941765702
1020120240
11103a26a8
1268a37a8
13422608a
14295a640
151b76845
hex13302b0

20120240 has 160 divisors (see below), whose sum is σ = 59043840. Its totient is φ = 6220800.

The previous prime is 20120237. The next prime is 20120251. The reversal of 20120240 is 4202102.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 329810 + ... + 329870.

It is an arithmetic number, because the mean of its divisors is an integer number (369024).

Almost surely, 220120240 is an apocalyptic number.

20120240 is a gapful number since it is divisible by the number (20) 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 20120240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29521920).

20120240 is an abundant number, since it is smaller than the sum of its proper divisors (38923600).

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

20120240 is a wasteful number, since it uses less digits than its factorization.

20120240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 20120240 is about 4485.5590509991. The cubic root of 20120240 is about 271.9846444619.

Adding to 20120240 its reverse (4202102), we get a palindrome (24322342).

The spelling of 20120240 in words is "twenty million, one hundred twenty thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 31 35 38 40 56 61 62 70 76 80 95 112 122 124 133 140 152 155 190 217 244 248 266 280 304 305 310 380 427 434 488 496 532 560 589 610 620 665 760 854 868 976 1064 1085 1159 1178 1220 1240 1330 1520 1708 1736 1891 2128 2135 2170 2318 2356 2440 2480 2660 2945 3416 3472 3782 4123 4270 4340 4636 4712 4880 5320 5795 5890 6832 7564 8113 8246 8540 8680 9272 9424 9455 10640 11590 11780 13237 15128 16226 16492 17080 17360 18544 18910 20615 23180 23560 26474 30256 32452 32984 34160 35929 37820 40565 41230 46360 47120 52948 64904 65968 66185 71858 75640 81130 82460 92720 105896 129808 132370 143716 151280 162260 164920 179645 211792 251503 264740 287432 324520 329840 359290 503006 529480 574864 649040 718580 1006012 1058960 1257515 1437160 2012024 2515030 2874320 4024048 5030060 10060120 20120240