Search a number
-
+
164995020 = 223253129569
BaseRepresentation
bin10011101010110…
…01111111001100
3102111110121121200
421311121333030
5314214320040
624212225500
74042302021
oct1165317714
9374417550
10164995020
1185154223
124730b290
132824c1b8
1417cad548
15e742630
hex9d59fcc

164995020 has 72 divisors (see below), whose sum is σ = 516647040. Its totient is φ = 42577920.

The previous prime is 164995009. The next prime is 164995021. The reversal of 164995020 is 20599461.

164995020 is a `hidden beast` number, since 1 + 64 + 99 + 502 + 0 = 666.

It is a super-4 number, since 4×1649950204 (a number of 34 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (164995021) 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 23 ways as a sum of consecutive naturals, for example, 9205 + ... + 20364.

Almost surely, 2164995020 is an apocalyptic number.

164995020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164995020 is an abundant number, since it is smaller than the sum of its proper divisors (351652020).

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

164995020 is a wasteful number, since it uses less digits than its factorization.

164995020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29615 (or 29610 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 164995020 is about 12845.0387309654. The cubic root of 164995020 is about 548.4751371399.

It can be divided in two parts, 1649 and 95020, that added together give a palindrome (96669).

The spelling of 164995020 in words is "one hundred sixty-four million, nine hundred ninety-five thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 180 186 279 310 372 465 558 620 930 1116 1395 1860 2790 5580 29569 59138 88707 118276 147845 177414 266121 295690 354828 443535 532242 591380 887070 916639 1064484 1330605 1774140 1833278 2661210 2749917 3666556 4583195 5322420 5499834 8249751 9166390 10999668 13749585 16499502 18332780 27499170 32999004 41248755 54998340 82497510 164995020