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164462440 = 23531132631
BaseRepresentation
bin10011100110101…
…11111101101000
3102110110120001111
421303113331220
5314100244230
624153000104
74034623222
oct1163277550
9373416044
10164462440
118492007a
12470b3034
13280c396c
1417bb1412
15e68992a
hex9cd7f68

164462440 has 32 divisors (see below), whose sum is σ = 381980160. Its totient is φ = 63662400.

The previous prime is 164462429. The next prime is 164462449. The reversal of 164462440 is 44264461.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (164462449) 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 7 ways as a sum of consecutive naturals, for example, 65076 + ... + 67555.

It is an arithmetic number, because the mean of its divisors is an integer number (11936880).

Almost surely, 2164462440 is an apocalyptic number.

164462440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164462440 is an abundant number, since it is smaller than the sum of its proper divisors (217517720).

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

164462440 is a wasteful number, since it uses less digits than its factorization.

164462440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132673 (or 132669 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

The square root of 164462440 is about 12824.2910135415. The cubic root of 164462440 is about 547.8843683069.

The spelling of 164462440 in words is "one hundred sixty-four million, four hundred sixty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 1240 132631 265262 530524 663155 1061048 1326310 2652620 4111561 5305240 8223122 16446244 20557805 32892488 41115610 82231220 164462440