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119133008 = 241723137139
BaseRepresentation
bin1110001100111…
…01001101010000
322022011120202122
413012131031100
5220444224013
615453233412
72644420361
oct706351520
9268146678
10119133008
116127a435
1233a92868
131b8b2407
1411b71b68
15a6d3a08
hex719d350

119133008 has 80 divisors (see below), whose sum is σ = 258733440. Its totient is φ = 52850688.

The previous prime is 119132999. The next prime is 119133011. The reversal of 119133008 is 800331911.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 857003 + ... + 857141.

It is an arithmetic number, because the mean of its divisors is an integer number (3234168).

Almost surely, 2119133008 is an apocalyptic number.

119133008 is the 6302-nd octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 119133008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129366720).

119133008 is an abundant number, since it is smaller than the sum of its proper divisors (139600432).

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

119133008 is a wasteful number, since it uses less digits than its factorization.

119133008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 26.

The square root of 119133008 is about 10914.8068237601. The cubic root of 119133008 is about 492.0516613521.

Adding to 119133008 its reverse (800331911), we get a palindrome (919464919).

The spelling of 119133008 in words is "one hundred nineteen million, one hundred thirty-three thousand, eight".

Divisors: 1 2 4 8 16 17 23 34 46 68 92 136 137 139 184 272 274 278 368 391 548 556 782 1096 1112 1564 2192 2224 2329 2363 3128 3151 3197 4658 4726 6256 6302 6394 9316 9452 12604 12788 18632 18904 19043 25208 25576 37264 37808 38086 50416 51152 53567 54349 76172 107134 108698 152344 214268 217396 304688 323731 428536 434792 437989 647462 857072 869584 875978 1294924 1751956 2589848 3503912 5179696 7007824 7445813 14891626 29783252 59566504 119133008