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1213034240 = 28511101853
BaseRepresentation
bin100100001001101…
…0110111100000000
310010112112112011002
41020103112330000
54441014043430
6320211311132
742026422655
oct11023267400
93115475132
101213034240
115727a9640
1229a2ab4a8
13164409152
14b7163c2c
1571762845
hex484d6f00

1213034240 has 144 divisors (see below), whose sum is σ = 3204877536. Its totient is φ = 436224000.

The previous prime is 1213034231. The next prime is 1213034261. The reversal of 1213034240 is 424303121.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1421654 + ... + 1422506.

It is an arithmetic number, because the mean of its divisors is an integer number (22256094).

Almost surely, 21213034240 is an apocalyptic number.

1213034240 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 1213034240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1602438768).

1213034240 is an abundant number, since it is smaller than the sum of its proper divisors (1991843296).

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

1213034240 is a wasteful number, since it uses less digits than its factorization.

1213034240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 986 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 1213034240 is about 34828.6410874728. The cubic root of 1213034240 is about 1066.4922075789.

Adding to 1213034240 its reverse (424303121), we get a palindrome (1637337361).

The spelling of 1213034240 in words is "one billion, two hundred thirteen million, thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 101 110 128 160 176 202 220 256 320 352 404 440 505 640 704 808 853 880 1010 1111 1280 1408 1616 1706 1760 2020 2222 2816 3232 3412 3520 4040 4265 4444 5555 6464 6824 7040 8080 8530 8888 9383 11110 12928 13648 14080 16160 17060 17776 18766 22220 25856 27296 32320 34120 35552 37532 44440 46915 54592 64640 68240 71104 75064 86153 88880 93830 109184 129280 136480 142208 150128 172306 177760 187660 218368 272960 284416 300256 344612 355520 375320 430765 545920 600512 689224 711040 750640 861530 947683 1091840 1201024 1378448 1422080 1501280 1723060 1895366 2402048 2756896 3002560 3446120 3790732 4738415 5513792 6005120 6892240 7581464 9476830 11027584 12010240 13784480 15162928 18953660 22055168 27568960 30325856 37907320 55137920 60651712 75814640 110275840 121303424 151629280 242606848 303258560 606517120 1213034240