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165541428 = 223313157751
BaseRepresentation
bin10011101110111…
…11011000110100
3102112111101011000
421313133120310
5314334311203
624232043300
74050036033
oct1167373064
9375441130
10165541428
11854977a8
1247533530
13283b0b10
1417db271a
15e7ee4a3
hex9ddf634

165541428 has 96 divisors (see below), whose sum is σ = 465758720. Its totient is φ = 50544000.

The previous prime is 165541423. The next prime is 165541447. The reversal of 165541428 is 824145561.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 165541392 and 165541401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165541423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 220053 + ... + 220803.

Almost surely, 2165541428 is an apocalyptic number.

165541428 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165541428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232879360).

165541428 is an abundant number, since it is smaller than the sum of its proper divisors (300217292).

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

165541428 is a wasteful number, since it uses less digits than its factorization.

165541428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934 (or 926 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 165541428 is about 12866.2903744630. The cubic root of 165541428 is about 549.0799250593.

Adding to 165541428 its reverse (824145561), we get a palindrome (989686989).

The spelling of 165541428 in words is "one hundred sixty-five million, five hundred forty-one thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 157 234 314 351 468 471 628 702 751 942 1404 1413 1502 1884 2041 2253 2826 3004 4082 4239 4506 5652 6123 6759 8164 8478 9012 9763 12246 13518 16956 18369 19526 20277 24492 27036 29289 36738 39052 40554 55107 58578 73476 81108 87867 110214 117156 117907 175734 220428 235814 263601 351468 353721 471628 527202 707442 1054404 1061163 1414884 1532791 2122326 3065582 3183489 4244652 4598373 6131164 6366978 9196746 12733956 13795119 18393492 27590238 41385357 55180476 82770714 165541428