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1114255680 = 26354312693
BaseRepresentation
bin100001001101010…
…0011000101000000
32212122200001102220
41002122203011000
54240222140210
6302322211040
736420005556
oct10232430500
92778601386
101114255680
11521a7186a
122711b3a80
13149b025b5
14a7dadbd6
1567c4ec70
hex426a3140

1114255680 has 112 divisors (see below), whose sum is σ = 3547286784. Its totient is φ = 296335360.

The previous prime is 1114255621. The next prime is 1114255697. The reversal of 1114255680 is 865524111.

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, 412414 + ... + 415106.

Almost surely, 21114255680 is an apocalyptic number.

1114255680 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 1114255680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1773643392).

1114255680 is an abundant number, since it is smaller than the sum of its proper divisors (2433031104).

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

1114255680 is a wasteful number, since it uses less digits than its factorization.

1114255680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3144 (or 3134 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 33.

The square root of 1114255680 is about 33380.4685407500. The cubic root of 1114255680 is about 1036.7203390060.

Adding to 1114255680 its reverse (865524111), we get a palindrome (1979779791).

The spelling of 1114255680 in words is "one billion, one hundred fourteen million, two hundred fifty-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 431 480 862 960 1293 1724 2155 2586 2693 3448 4310 5172 5386 6465 6896 8079 8620 10344 10772 12930 13465 13792 16158 17240 20688 21544 25860 26930 27584 32316 34480 40395 41376 43088 51720 53860 64632 68960 80790 82752 86176 103440 107720 129264 137920 161580 172352 206880 215440 258528 323160 413760 430880 517056 646320 861760 1160683 1292640 2321366 2585280 3482049 4642732 5803415 6964098 9285464 11606830 13928196 17410245 18570928 23213660 27856392 34820490 37141856 46427320 55712784 69640980 74283712 92854640 111425568 139281960 185709280 222851136 278563920 371418560 557127840 1114255680