Search a number
-
+
1212242240 = 26511438009
BaseRepresentation
bin100100001000001…
…0101100101000000
310010111001021201202
41020100111211000
54440313222430
6320142320332
742016613636
oct11020254500
93114037652
101212242240
115723085a0
12299b890a8
131641bc801
14b6dd9356
1571657d45
hex48415940

1212242240 has 112 divisors (see below), whose sum is σ = 3222711360. Its totient is φ = 430510080.

The previous prime is 1212242231. The next prime is 1212242243. The reversal of 1212242240 is 422422121.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1212242243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147356 + ... + 155364.

Almost surely, 21212242240 is an apocalyptic number.

1212242240 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 1212242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1611355680).

1212242240 is an abundant number, since it is smaller than the sum of its proper divisors (2010469120).

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

1212242240 is a wasteful number, since it uses less digits than its factorization.

1212242240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8080 (or 8070 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 1212242240 is about 34817.2692783337. The cubic root of 1212242240 is about 1066.2600498772.

Adding to 1212242240 its reverse (422422121), we get a palindrome (1634664361).

The spelling of 1212242240 in words is "one billion, two hundred twelve million, two hundred forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 43 44 55 64 80 86 88 110 160 172 176 215 220 320 344 352 430 440 473 688 704 860 880 946 1376 1720 1760 1892 2365 2752 3440 3520 3784 4730 6880 7568 8009 9460 13760 15136 16018 18920 30272 32036 37840 40045 64072 75680 80090 88099 128144 151360 160180 176198 256288 320360 344387 352396 440495 512576 640720 688774 704792 880990 1281440 1377548 1409584 1721935 1761980 2562880 2755096 2819168 3443870 3523960 3788257 5510192 5638336 6887740 7047920 7576514 11020384 13775480 14095840 15153028 18941285 22040768 27550960 28191680 30306056 37882570 55101920 60612112 75765140 110203840 121224224 151530280 242448448 303060560 606121120 1212242240