Search a number
-
+
1243780740 = 2232547791861
BaseRepresentation
bin100101000100010…
…1001011010000100
310012200101121102100
41022020221122010
510021401440430
6323230312100
742551650626
oct11210513204
93180347370
101243780740
11589099974
122a8658630
1316a8b2b47
14bb288c16
15742d7960
hex4a229684

1243780740 has 144 divisors (see below), whose sum is σ = 3903943680. Its totient is φ = 320336640.

The previous prime is 1243780687. The next prime is 1243780751. The reversal of 1243780740 is 470873421.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1243780695 and 1243780704.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 667410 + ... + 669270.

It is an arithmetic number, because the mean of its divisors is an integer number (27110720).

Almost surely, 21243780740 is an apocalyptic number.

1243780740 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 1243780740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1951971840).

1243780740 is an abundant number, since it is smaller than the sum of its proper divisors (2660162940).

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

1243780740 is a wasteful number, since it uses less digits than its factorization.

1243780740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2002 (or 1997 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 1243780740 is about 35267.2757666367. The cubic root of 1243780740 is about 1075.4278419584.

The spelling of 1243780740 in words is "one billion, two hundred forty-three million, seven hundred eighty thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 47 60 79 90 94 141 158 180 188 235 237 282 316 395 423 470 474 564 705 711 790 846 940 948 1185 1410 1422 1580 1692 1861 2115 2370 2820 2844 3555 3713 3722 4230 4740 5583 7110 7426 7444 8460 9305 11139 11166 14220 14852 16749 18565 18610 22278 22332 27915 33417 33498 37130 37220 44556 55695 55830 66834 66996 74260 83745 87467 111390 111660 133668 147019 167085 167490 174934 222780 262401 294038 334170 334980 349868 437335 441057 524802 588076 668340 735095 787203 874670 882114 1049604 1312005 1323171 1470190 1574406 1749340 1764228 2205285 2624010 2646342 2940380 3148812 3936015 4410570 5248020 5292684 6615855 6909893 7872030 8821140 13231710 13819786 15744060 20729679 26463420 27639572 34549465 41459358 62189037 69098930 82918716 103648395 124378074 138197860 207296790 248756148 310945185 414593580 621890370 1243780740