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162161440 = 2557672161
BaseRepresentation
bin10011010101001…
…10001100100000
3102022010122200021
421222212030200
5313003131230
624031403224
74006230610
oct1152461440
9368118607
10162161440
1183599321
1246383514
132779951c
1417772a40
15e382c7a
hex9aa6320

162161440 has 96 divisors (see below), whose sum is σ = 444576384. Its totient is φ = 54743040.

The previous prime is 162161413. The next prime is 162161443. The reversal of 162161440 is 44161261.

It is not an unprimeable number, because it can be changed into a prime (162161443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73960 + ... + 76120.

It is an arithmetic number, because the mean of its divisors is an integer number (4631004).

Almost surely, 2162161440 is an apocalyptic number.

162161440 is a gapful number since it is divisible by the number (10) 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 162161440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222288192).

162161440 is an abundant number, since it is smaller than the sum of its proper divisors (282414944).

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

162161440 is a wasteful number, since it uses less digits than its factorization.

162161440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2250 (or 2242 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 162161440 is about 12734.2624442879. The cubic root of 162161440 is about 545.3172016491.

The spelling of 162161440 in words is "one hundred sixty-two million, one hundred sixty-one thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 67 70 80 112 134 140 160 224 268 280 335 469 536 560 670 938 1072 1120 1340 1876 2144 2161 2345 2680 3752 4322 4690 5360 7504 8644 9380 10720 10805 15008 15127 17288 18760 21610 30254 34576 37520 43220 60508 69152 75040 75635 86440 121016 144787 151270 172880 242032 289574 302540 345760 484064 579148 605080 723935 1013509 1158296 1210160 1447870 2027018 2316592 2420320 2895740 4054036 4633184 5067545 5791480 8108072 10135090 11582960 16216144 20270180 23165920 32432288 40540360 81080720 162161440