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165370842 = 23371373461
BaseRepresentation
bin10011101101101…
…01101111011010
3102112011201011000
421312311233122
5314313331332
624224245430
74045425510
oct1166655732
9375151130
10165370842
118539061a
1247470876
1328351290
1417d6a4b0
15e7b8b7c
hex9db5bda

165370842 has 128 divisors (see below), whose sum is σ = 459486720. Its totient is φ = 42923520.

The previous prime is 165370841. The next prime is 165370853. The reversal of 165370842 is 248073561.

It is a junction number, because it is equal to n+sod(n) for n = 165370797 and 165370806.

It is not an unprimeable number, because it can be changed into a prime (165370841) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 358492 + ... + 358952.

It is an arithmetic number, because the mean of its divisors is an integer number (3589740).

Almost surely, 2165370842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165370842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229743360).

165370842 is an abundant number, since it is smaller than the sum of its proper divisors (294115878).

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

165370842 is a wasteful number, since it uses less digits than its factorization.

165370842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565 (or 559 counting only the distinct ones).

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

The square root of 165370842 is about 12859.6594822725. The cubic root of 165370842 is about 548.8912561949.

The spelling of 165370842 in words is "one hundred sixty-five million, three hundred seventy thousand, eight hundred forty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 73 78 91 117 126 146 182 189 219 234 273 351 378 438 461 511 546 657 702 819 922 949 1022 1314 1383 1533 1638 1898 1971 2457 2766 2847 3066 3227 3942 4149 4599 4914 5694 5993 6454 6643 8298 8541 9198 9681 11986 12447 13286 13797 17082 17979 19362 19929 24894 25623 27594 29043 33653 35958 39858 41951 51246 53937 58086 59787 67306 83902 87129 100959 107874 119574 125853 161811 174258 179361 201918 235571 251706 302877 323622 358722 377559 437489 471142 605754 706713 755118 874978 908631 1132677 1312467 1413426 1817262 2120139 2265354 2624934 3062423 3937401 4240278 6124846 6360417 7874802 9187269 11812203 12720834 18374538 23624406 27561807 55123614 82685421 165370842