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1153305054 = 2341119231481
BaseRepresentation
bin100010010111110…
…0000100111011110
32222101010222010000
41010233200213132
54330221230204
6310235155130
740402634256
oct10457404736
92871128100
101153305054
11542013180
122822a5aa6
13154c25535
14ad256966
156b3b5039
hex44be09de

1153305054 has 160 divisors (see below), whose sum is σ = 3098684160. Its totient is φ = 316483200.

The previous prime is 1153305017. The next prime is 1153305061. The reversal of 1153305054 is 4505033511.

1153305054 is a `hidden beast` number, since 1 + 153 + 3 + 0 + 505 + 4 = 666.

1153305054 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11533050542 = 2660225095163885832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 777994 + ... + 779474.

It is an arithmetic number, because the mean of its divisors is an integer number (19366776).

Almost surely, 21153305054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1153305054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1549342080).

1153305054 is an abundant number, since it is smaller than the sum of its proper divisors (1945379106).

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

1153305054 is a wasteful number, since it uses less digits than its factorization.

1153305054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1548 (or 1539 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 1153305054 is about 33960.3453162656. The cubic root of 1153305054 is about 1048.6922658216.

Adding to 1153305054 its reverse (4505033511), we get a palindrome (5658338565).

The spelling of 1153305054 in words is "one billion, one hundred fifty-three million, three hundred five thousand, fifty-four".

Divisors: 1 2 3 6 9 11 18 19 22 23 27 33 38 46 54 57 66 69 81 99 114 138 162 171 198 207 209 253 297 342 414 418 437 506 513 594 621 627 759 874 891 1026 1242 1254 1311 1481 1518 1539 1782 1863 1881 2277 2622 2962 3078 3726 3762 3933 4443 4554 4807 5643 6831 7866 8886 9614 11286 11799 13329 13662 14421 16291 16929 20493 23598 26658 28139 28842 32582 33858 34063 35397 39987 40986 43263 48873 56278 68126 70794 79974 84417 86526 97746 102189 119961 129789 146619 168834 204378 239922 253251 259578 293238 306567 309529 374693 389367 439857 506502 613134 619058 647197 749386 759753 778734 879714 919701 928587 1124079 1294394 1319571 1519506 1839402 1857174 1941591 2248158 2279259 2639142 2759103 2785761 3372237 3883182 4558518 5518206 5571522 5824773 6744474 7119167 8357283 10116711 11649546 14238334 16714566 17474319 20233422 21357501 25071849 30350133 34948638 42715002 50143698 52422957 60700266 64072503 104845914 128145006 192217509 384435018 576652527 1153305054