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1213245440 = 21151110771
BaseRepresentation
bin100100001010000…
…1010100000000000
310010112221020212022
41020110022200000
54441042323230
6320220021012
742031262501
oct11024124000
93115836768
101213245440
11572933290
1229a391768
13164481314
14b71baba8
15717a51e5
hex4850a800

1213245440 has 96 divisors (see below), whose sum is σ = 3176016480. Its totient is φ = 441139200.

The previous prime is 1213245427. The next prime is 1213245491. The reversal of 1213245440 is 445423121.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 107255 + ... + 118025.

It is an arithmetic number, because the mean of its divisors is an integer number (33083505).

Almost surely, 21213245440 is an apocalyptic number.

1213245440 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 1213245440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1588008240).

1213245440 is an abundant number, since it is smaller than the sum of its proper divisors (1962771040).

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

1213245440 is a wasteful number, since it uses less digits than its factorization.

1213245440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10809 (or 10789 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 1213245440 is about 34831.6729428835. The cubic root of 1213245440 is about 1066.5540992321.

Adding to 1213245440 its reverse (445423121), we get a palindrome (1658668561).

The spelling of 1213245440 in words is "one billion, two hundred thirteen million, two hundred forty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 512 640 704 880 1024 1280 1408 1760 2048 2560 2816 3520 5120 5632 7040 10240 10771 11264 14080 21542 22528 28160 43084 53855 56320 86168 107710 112640 118481 172336 215420 236962 344672 430840 473924 592405 689344 861680 947848 1184810 1378688 1723360 1895696 2369620 2757376 3446720 3791392 4739240 5514752 6893440 7582784 9478480 11029504 13786880 15165568 18956960 22059008 27573760 30331136 37913920 55147520 60662272 75827840 110295040 121324544 151655680 242649088 303311360 606622720 1213245440