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164104380 = 22345119209
BaseRepresentation
bin10011100100000…
…00100010111100
3102102210100220000
421302000202330
5314002320010
624141154300
74031602266
oct1162004274
9372710800
10164104380
11846a6060
1246b5b990
1327cc99ab
1417b1ab36
15e6187c0
hex9c808bc

164104380 has 120 divisors (see below), whose sum is σ = 561662640. Its totient is φ = 39778560.

The previous prime is 164104351. The next prime is 164104397. The reversal of 164104380 is 83401461.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 13216 + ... + 22424.

It is an arithmetic number, because the mean of its divisors is an integer number (4680522).

Almost surely, 2164104380 is an apocalyptic number.

164104380 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 164104380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280831320).

164104380 is an abundant number, since it is smaller than the sum of its proper divisors (397558260).

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

164104380 is a wasteful number, since it uses less digits than its factorization.

164104380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9241 (or 9230 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 164104380 is about 12810.3231809350. The cubic root of 164104380 is about 547.4864699227.

The spelling of 164104380 in words is "one hundred sixty-four million, one hundred four thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 81 90 99 108 110 132 135 162 165 180 198 220 270 297 324 330 396 405 495 540 594 660 810 891 990 1188 1485 1620 1782 1980 2970 3564 4455 5940 8910 9209 17820 18418 27627 36836 46045 55254 82881 92090 101299 110508 138135 165762 184180 202598 248643 276270 303897 331524 405196 414405 497286 506495 552540 607794 745929 828810 911691 994572 1012990 1215588 1243215 1491858 1519485 1657620 1823382 2025980 2486430 2735073 2983716 3038970 3646764 3729645 4558455 4972860 5470146 6077940 7459290 8205219 9116910 10940292 13675365 14918580 16410438 18233820 27350730 32820876 41026095 54701460 82052190 164104380