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164403620 = 225431491283
BaseRepresentation
bin10011100110010…
…01100110100100
3102110100120100222
421303021212210
5314041403440
624151423512
74034256563
oct1163114644
9373316328
10164403620
118488a967
1247084b98
13280a2c64
1417b97bda
15e6772b5
hex9cc99a4

164403620 has 48 divisors (see below), whose sum is σ = 355924800. Its totient is φ = 63751296.

The previous prime is 164403557. The next prime is 164403641. The reversal of 164403620 is 26304461.

It is a super-3 number, since 3×1644036203 (a number of 26 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 164403620.

It is an unprimeable number.

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, 127499 + ... + 128781.

It is an arithmetic number, because the mean of its divisors is an integer number (7415100).

Almost surely, 2164403620 is an apocalyptic number.

164403620 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 164403620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177962400).

164403620 is an abundant number, since it is smaller than the sum of its proper divisors (191521180).

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

164403620 is a wasteful number, since it uses less digits than its factorization.

164403620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1484 (or 1482 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 164403620 is about 12821.9975042893. The cubic root of 164403620 is about 547.8190435612.

The spelling of 164403620 in words is "one hundred sixty-four million, four hundred three thousand, six hundred twenty".

Divisors: 1 2 4 5 10 20 43 86 149 172 215 298 430 596 745 860 1283 1490 2566 2980 5132 6407 6415 12814 12830 25628 25660 32035 55169 64070 110338 128140 191167 220676 275845 382334 551690 764668 955835 1103380 1911670 3823340 8220181 16440362 32880724 41100905 82201810 164403620