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165419440 = 2452279109
BaseRepresentation
bin10011101110000…
…01100110110000
3102112021011210221
421313001212300
5314321410230
624225302424
74046020264
oct1167014660
9375234727
10165419440
118541408a
1247494a14
132836a434
1417d800a4
15e7c827a
hex9dc19b0

165419440 has 40 divisors (see below), whose sum is σ = 386336880. Its totient is φ = 65869056.

The previous prime is 165419431. The next prime is 165419467. The reversal of 165419440 is 44914561.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1654194402 = 54727182259827200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 165419396 and 165419405.

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 7 ways as a sum of consecutive naturals, for example, 13606 + ... + 22714.

It is an arithmetic number, because the mean of its divisors is an integer number (9658422).

Almost surely, 2165419440 is an apocalyptic number.

165419440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

165419440 is an abundant number, since it is smaller than the sum of its proper divisors (220917440).

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

165419440 is a wasteful number, since it uses less digits than its factorization.

165419440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9349 (or 9343 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 165419440 is about 12861.5488958368. The cubic root of 165419440 is about 548.9450190073.

The spelling of 165419440 in words is "one hundred sixty-five million, four hundred nineteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 227 454 908 1135 1816 2270 3632 4540 9080 9109 18160 18218 36436 45545 72872 91090 145744 182180 364360 728720 2067743 4135486 8270972 10338715 16541944 20677430 33083888 41354860 82709720 165419440