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1166055156 = 2233721911597
BaseRepresentation
bin100010110000000…
…1001011011110100
310000021010201222000
41011200021123310
54342002231111
6311412335300
740616206500
oct10540113364
93007121860
101166055156
11549231552
12286614530
1315776aa86
14b0c15300
156c582c56
hex458096f4

1166055156 has 144 divisors (see below), whose sum is σ = 3702081600. Its totient is φ = 315596736.

The previous prime is 1166055133. The next prime is 1166055157. The reversal of 1166055156 is 6515506611.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1166055156.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1166055157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 94750 + ... + 106346.

It is an arithmetic number, because the mean of its divisors is an integer number (25708900).

Almost surely, 21166055156 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1166055156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1851040800).

1166055156 is an abundant number, since it is smaller than the sum of its proper divisors (2536026444).

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

1166055156 is a wasteful number, since it uses less digits than its factorization.

1166055156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11643 (or 11628 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The square root of 1166055156 is about 34147.5497803283. The cubic root of 1166055156 is about 1052.5426378801.

The spelling of 1166055156 in words is "one billion, one hundred sixty-six million, fifty-five thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 27 28 36 38 42 49 54 57 63 76 84 98 108 114 126 133 147 171 189 196 228 252 266 294 342 378 399 441 513 532 588 684 756 798 882 931 1026 1197 1323 1596 1764 1862 2052 2394 2646 2793 3591 3724 4788 5292 5586 7182 8379 11172 11597 14364 16758 23194 25137 33516 34791 46388 50274 69582 81179 100548 104373 139164 162358 208746 220343 243537 313119 324716 417492 440686 487074 568253 626238 661029 730611 881372 974148 1136506 1252476 1322058 1461222 1542401 1704759 1983087 2191833 2273012 2644116 2922444 3084802 3409518 3966174 4383666 4627203 5114277 5949261 6169604 6819036 7932348 8767332 9254406 10228554 10796807 11898522 13881609 15342831 18508812 20457108 21593614 23797044 27763218 30685662 32390421 41644827 43187228 55526436 61371324 64780842 83289654 97171263 129561684 166579308 194342526 291513789 388685052 583027578 1166055156