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1013274240 = 27351147977
BaseRepresentation
bin111100011001010…
…101011010000000
32121121122122221120
4330121111122000
54033344233430
6244313552240
734052455206
oct7431253200
92547578846
101013274240
1147aa6aa30
12243415680
13131c07174
1498805076
155de54610
hex3c655680

1013274240 has 128 divisors (see below), whose sum is σ = 3523504320. Its totient is φ = 245637120.

The previous prime is 1013274203. The next prime is 1013274253. The reversal of 1013274240 is 424723101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1013274240.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2869 + ... + 45108.

Almost surely, 21013274240 is an apocalyptic number.

1013274240 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 1013274240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1761752160).

1013274240 is an abundant number, since it is smaller than the sum of its proper divisors (2510230080).

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

1013274240 is a wasteful number, since it uses less digits than its factorization.

1013274240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48010 (or 47998 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 1013274240 is about 31831.9688363758. The cubic root of 1013274240 is about 1004.4053114005.

Adding to 1013274240 its reverse (424723101), we get a palindrome (1437997341).

The spelling of 1013274240 in words is "one billion, thirteen million, two hundred seventy-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 264 320 330 352 384 440 480 528 640 660 704 880 960 1056 1320 1408 1760 1920 2112 2640 3520 4224 5280 7040 10560 21120 47977 95954 143931 191908 239885 287862 383816 479770 527747 575724 719655 767632 959540 1055494 1151448 1439310 1535264 1583241 1919080 2110988 2302896 2638735 2878620 3070528 3166482 3838160 4221976 4605792 5277470 5757240 6141056 6332964 7676320 7916205 8443952 9211584 10554940 11514480 12665928 15352640 15832410 16887904 18423168 21109880 23028960 25331856 30705280 31664820 33775808 42219760 46057920 50663712 63329640 67551616 84439520 92115840 101327424 126659280 168879040 202654848 253318560 337758080 506637120 1013274240