Search a number
-
+
1013301240 = 233573732603
BaseRepresentation
bin111100011001011…
…011111111111000
32121121201000222120
4330121123333320
54033401114430
6244314321240
734052630010
oct7431337770
92547630876
101013301240
1147aa89246
12243429220
13131c16543
1498810c40
155de5c610
hex3c65bff8

1013301240 has 128 divisors (see below), whose sum is σ = 3568181760. Its totient is φ = 225345024.

The previous prime is 1013301221. The next prime is 1013301241. The reversal of 1013301240 is 421033101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013301241) 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, 14779 + ... + 47381.

It is an arithmetic number, because the mean of its divisors is an integer number (27876420).

Almost surely, 21013301240 is an apocalyptic number.

1013301240 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 1013301240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1784090880).

1013301240 is an abundant number, since it is smaller than the sum of its proper divisors (2554880520).

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

1013301240 is a wasteful number, since it uses less digits than its factorization.

1013301240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32661 (or 32657 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1013301240 is about 31832.3929354989. The cubic root of 1013301240 is about 1004.4142325466.

Adding to 1013301240 its reverse (421033101), we get a palindrome (1434334341).

It can be divided in two parts, 1013 and 301240, that added together give a triangular number (302253 = T777).

The spelling of 1013301240 in words is "one billion, thirteen million, three hundred one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 37 40 42 56 60 70 74 84 105 111 120 140 148 168 185 210 222 259 280 296 370 420 444 518 555 740 777 840 888 1036 1110 1295 1480 1554 2072 2220 2590 3108 3885 4440 5180 6216 7770 10360 15540 31080 32603 65206 97809 130412 163015 195618 228221 260824 326030 391236 456442 489045 652060 684663 782472 912884 978090 1141105 1206311 1304120 1369326 1825768 1956180 2282210 2412622 2738652 3423315 3618933 3912360 4564420 4825244 5477304 6031555 6846630 7237866 8444177 9128840 9650488 12063110 13693260 14475732 16888354 18094665 24126220 25332531 27386520 28951464 33776708 36189330 42220885 48252440 50665062 67553416 72378660 84441770 101330124 126662655 144757320 168883540 202660248 253325310 337767080 506650620 1013301240