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164860000 = 25548243
BaseRepresentation
bin10011101001110…
…01000001100000
3102111012202101221
421310321001200
5314201010000
624205304424
74041200254
oct1164710140
9374182357
10164860000
1185071838
1247265114
13282028c6
1417c76264
15e71761a
hex9d39060

164860000 has 60 divisors (see below), whose sum is σ = 405629532. Its totient is φ = 65936000.

The previous prime is 164859991. The next prime is 164860009. The reversal of 164860000 is 68461.

It is an interprime number because it is at equal distance from previous prime (164859991) and next prime (164860009).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164860009) 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 9 ways as a sum of consecutive naturals, for example, 15879 + ... + 24121.

Almost surely, 2164860000 is an apocalyptic number.

164860000 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 164860000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202814766).

164860000 is an abundant number, since it is smaller than the sum of its proper divisors (240769532).

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

164860000 is an frugal number, since it uses more digits than its factorization.

164860000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8273 (or 8250 counting only the distinct ones).

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

The square root of 164860000 is about 12839.7819296124. The cubic root of 164860000 is about 548.3254855067.

The spelling of 164860000 in words is "one hundred sixty-four million, eight hundred sixty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 4000 5000 8243 10000 16486 20000 32972 41215 65944 82430 131888 164860 206075 263776 329720 412150 659440 824300 1030375 1318880 1648600 2060750 3297200 4121500 5151875 6594400 8243000 10303750 16486000 20607500 32972000 41215000 82430000 164860000