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1155341440 = 27511295659
BaseRepresentation
bin100010011011101…
…0001110010000000
32222111222102111201
41010313101302000
54331231411230
6310350550544
740426145251
oct10467216200
92874872451
101155341440
11543184140
12282b08454
131554893b6
14ad626b28
156b6685ca
hex44dd1c80

1155341440 has 128 divisors (see below), whose sum is σ = 3117528000. Its totient is φ = 405565440.

The previous prime is 1155341399. The next prime is 1155341477. The reversal of 1155341440 is 441435511.

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

It is a junction number, because it is equal to n+sod(n) for n = 1155341399 and 1155341408.

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, 201331 + ... + 206989.

Almost surely, 21155341440 is an apocalyptic number.

1155341440 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 1155341440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1558764000).

1155341440 is an abundant number, since it is smaller than the sum of its proper divisors (1962186560).

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

1155341440 is a wasteful number, since it uses less digits than its factorization.

1155341440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5718 (or 5706 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 1155341440 is about 33990.3139144080. The cubic root of 1155341440 is about 1049.3091267775.

Adding to 1155341440 its reverse (441435511), we get a palindrome (1596776951).

The spelling of 1155341440 in words is "one billion, one hundred fifty-five million, three hundred forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 29 32 40 44 55 58 64 80 88 110 116 128 145 160 176 220 232 290 319 320 352 440 464 580 638 640 704 880 928 1160 1276 1408 1595 1760 1856 2320 2552 3190 3520 3712 4640 5104 5659 6380 7040 9280 10208 11318 12760 18560 20416 22636 25520 28295 40832 45272 51040 56590 62249 90544 102080 113180 124498 164111 181088 204160 226360 248996 311245 328222 362176 452720 497992 622490 656444 724352 820555 905440 995984 1244980 1312888 1641110 1805221 1810880 1991968 2489960 2625776 3282220 3610442 3621760 3983936 4979920 5251552 6564440 7220884 7967872 9026105 9959840 10503104 13128880 14441768 18052210 19919680 21006208 26257760 28883536 36104420 39839360 52515520 57767072 72208840 105031040 115534144 144417680 231068288 288835360 577670720 1155341440