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165243078 = 234711131019
BaseRepresentation
bin10011101100101…
…10100011000110
3102111221012220000
421312112203012
5314300234303
624221422130
74044354150
oct1166264306
9374835800
10165243078
1185303630
124740a946
1328308090
1417d35ad0
15e790da3
hex9d968c6

165243078 has 160 divisors (see below), whose sum is σ = 497629440. Its totient is φ = 39579840.

The previous prime is 165243047. The next prime is 165243107. The reversal of 165243078 is 870342561.

165243078 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Curzon number.

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, 161653 + ... + 162671.

It is an arithmetic number, because the mean of its divisors is an integer number (3110184).

Almost surely, 2165243078 is an apocalyptic number.

165243078 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 165243078, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248814720).

165243078 is an abundant number, since it is smaller than the sum of its proper divisors (332386362).

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

165243078 is a wasteful number, since it uses less digits than its factorization.

165243078 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1064 (or 1055 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 165243078 is about 12854.6908947668. The cubic root of 165243078 is about 548.7498636543.

It can be divided in two parts, 1652430 and 78, that multiplied together give a triangular number (128889540 = T16055).

The spelling of 165243078 in words is "one hundred sixty-five million, two hundred forty-three thousand, seventy-eight".

Divisors: 1 2 3 6 7 9 11 13 14 18 21 22 26 27 33 39 42 54 63 66 77 78 81 91 99 117 126 143 154 162 182 189 198 231 234 273 286 297 351 378 429 462 546 567 594 693 702 819 858 891 1001 1019 1053 1134 1287 1386 1638 1782 2002 2038 2079 2106 2457 2574 3003 3057 3861 4158 4914 6006 6114 6237 7133 7371 7722 9009 9171 11209 11583 12474 13247 14266 14742 18018 18342 21399 22418 23166 26494 27027 27513 33627 39741 42798 54054 55026 64197 67254 78463 79482 81081 82539 92729 100881 119223 128394 145717 156926 162162 165078 185458 192591 201762 235389 238446 278187 291434 302643 357669 385182 437151 470778 556374 577773 605286 706167 715338 834561 874302 907929 1020019 1073007 1155546 1311453 1412334 1669122 1815858 2040038 2118501 2146014 2503683 2622906 3060057 3934359 4237002 5007366 6120114 6355503 7511049 7868718 9180171 11803077 12711006 15022098 18360342 23606154 27540513 55081026 82621539 165243078