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164062240 = 2551760317
BaseRepresentation
bin10011100011101…
…10010000100000
3102102201020002021
421301312100200
5313444442430
624140231224
74031335366
oct1161662040
9372636067
10164062240
1184677431
1246b3b514
1327cb3764
1417b09636
15e60b07a
hex9c76420

164062240 has 48 divisors (see below), whose sum is σ = 410403672. Its totient is φ = 61763584.

The previous prime is 164062231. The next prime is 164062247. The reversal of 164062240 is 42260461.

It can be written as a sum of positive squares in 4 ways, for example, as 101525776 + 62536464 = 10076^2 + 7908^2 .

It is not an unprimeable number, because it can be changed into a prime (164062247) 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 7 ways as a sum of consecutive naturals, for example, 27439 + ... + 32878.

Almost surely, 2164062240 is an apocalyptic number.

164062240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164062240 is an abundant number, since it is smaller than the sum of its proper divisors (246341432).

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

164062240 is a wasteful number, since it uses less digits than its factorization.

164062240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60349 (or 60341 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 164062240 is about 12808.6783080847. The cubic root of 164062240 is about 547.4396032985.

The spelling of 164062240 in words is "one hundred sixty-four million, sixty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 544 680 1360 2720 60317 120634 241268 301585 482536 603170 965072 1025389 1206340 1930144 2050778 2412680 4101556 4825360 5126945 8203112 9650720 10253890 16406224 20507780 32812448 41015560 82031120 164062240