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164760470 = 2577133151
BaseRepresentation
bin10011101001000…
…00101110010110
3102111000200212122
421310200232112
5314134313340
624203215542
74040304140
oct1164405626
9374020778
10164760470
1185003a86
12472175b2
1328199504
1417c4bc90
15e6e7db5
hex9d20b96

164760470 has 32 divisors (see below), whose sum is σ = 343719936. Its totient is φ = 55692000.

The previous prime is 164760467. The next prime is 164760473. The reversal of 164760470 is 74067461.

It is a happy number.

164760470 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (164760467) and next prime (164760473).

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 164760470.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164760473) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 11606 + ... + 21545.

It is an arithmetic number, because the mean of its divisors is an integer number (10741248).

Almost surely, 2164760470 is an apocalyptic number.

164760470 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

164760470 is an abundant number, since it is smaller than the sum of its proper divisors (178959466).

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

164760470 is a wasteful number, since it uses less digits than its factorization.

164760470 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33236.

The product of its (nonzero) digits is 28224, while the sum is 35.

The square root of 164760470 is about 12835.9054998080. The cubic root of 164760470 is about 548.2151174733.

The spelling of 164760470 in words is "one hundred sixty-four million, seven hundred sixty thousand, four hundred seventy".

Divisors: 1 2 5 7 10 14 35 70 71 142 355 497 710 994 2485 4970 33151 66302 165755 232057 331510 464114 1160285 2320570 2353721 4707442 11768605 16476047 23537210 32952094 82380235 164760470