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164745780 = 223523313851
BaseRepresentation
bin10011101000111…
…01001000110100
3102110222221201120
421310131020310
5314133331110
624203023540
74040213253
oct1164351064
9373887646
10164745780
1184aa3a41
124720abb0
1328192914
1417c4679a
15e6e3870
hex9d1d234

164745780 has 96 divisors (see below), whose sum is σ = 497000448. Its totient is φ = 40656000.

The previous prime is 164745739. The next prime is 164745809. The reversal of 164745780 is 87547461.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 40855 + ... + 44705.

It is an arithmetic number, because the mean of its divisors is an integer number (5177088).

Almost surely, 2164745780 is an apocalyptic number.

164745780 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 164745780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248500224).

164745780 is an abundant number, since it is smaller than the sum of its proper divisors (332254668).

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

164745780 is a wasteful number, since it uses less digits than its factorization.

164745780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3917 (or 3915 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The square root of 164745780 is about 12835.3332640801. Note that the first 3 decimals coincide. The cubic root of 164745780 is about 548.1988240840.

The spelling of 164745780 in words is "one hundred sixty-four million, seven hundred forty-five thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 31 46 60 62 69 92 93 115 124 138 155 186 230 276 310 345 372 460 465 620 690 713 930 1380 1426 1860 2139 2852 3565 3851 4278 7130 7702 8556 10695 11553 14260 15404 19255 21390 23106 38510 42780 46212 57765 77020 88573 115530 119381 177146 231060 238762 265719 354292 358143 442865 477524 531438 596905 716286 885730 1062876 1193810 1328595 1432572 1771460 1790715 2387620 2657190 2745763 3581430 5314380 5491526 7162860 8237289 10983052 13728815 16474578 27457630 32949156 41186445 54915260 82372890 164745780