Search a number
-
+
1141937240 = 235194383421
BaseRepresentation
bin100010000010000…
…1001010001011000
32221120202102101212
41010010021101120
54314313442430
6305151402252
740204210043
oct10404112130
92846672355
101141937240
11536659394
1227a523388
13152775212
14ab937c5a
156a3bbb95
hex44109458

1141937240 has 128 divisors (see below), whose sum is σ = 2807481600. Its totient is φ = 416586240.

The previous prime is 1141937231. The next prime is 1141937249. The reversal of 1141937240 is 427391411.

It is an interprime number because it is at equal distance from previous prime (1141937231) and next prime (1141937249).

It is a junction number, because it is equal to n+sod(n) for n = 1141937197 and 1141937206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1141937249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2712230 + ... + 2712650.

It is an arithmetic number, because the mean of its divisors is an integer number (21933450).

Almost surely, 21141937240 is an apocalyptic number.

1141937240 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 1141937240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1403740800).

1141937240 is an abundant number, since it is smaller than the sum of its proper divisors (1665544360).

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

1141937240 is a wasteful number, since it uses less digits than its factorization.

1141937240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 1141937240 is about 33792.5619034722. The cubic root of 1141937240 is about 1045.2353247034.

The spelling of 1141937240 in words is "one billion, one hundred forty-one million, nine hundred thirty-seven thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 43 76 83 86 95 152 166 172 190 215 332 344 380 415 421 430 664 760 817 830 842 860 1577 1634 1660 1684 1720 2105 3154 3268 3320 3368 3569 4085 4210 6308 6536 7138 7885 7999 8170 8420 12616 14276 15770 15998 16340 16840 17845 18103 28552 31540 31996 32680 34943 35690 36206 39995 63080 63992 67811 69886 71380 72412 79990 90515 135622 139772 142760 144824 159980 174715 181030 271244 279544 319960 339055 343957 349430 362060 542488 663917 678110 687914 698860 724120 1327834 1356220 1375828 1397720 1502549 1719785 2655668 2712440 2751656 3005098 3319585 3439570 5311336 6010196 6639170 6879140 7512745 12020392 13278340 13758280 15025490 26556680 28548431 30050980 57096862 60101960 114193724 142742155 228387448 285484310 570968620 1141937240