Search a number
-
+
170020890 = 23351359821
BaseRepresentation
bin10100010001001…
…01000000011010
3102211220221211000
422020211000122
5322011132030
624512045430
74133103504
oct1210450032
9384827730
10170020890
1187a77236
1248b33876
13292bb9a0
141881ad74
15edd6860
hexa22501a

170020890 has 128 divisors (see below), whose sum is σ = 497145600. Its totient is φ = 41091840.

The previous prime is 170020889. The next prime is 170020897. The reversal of 170020890 is 98020071.

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

It is not an unprimeable number, because it can be changed into a prime (170020897) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 206680 + ... + 207500.

It is an arithmetic number, because the mean of its divisors is an integer number (3883950).

Almost surely, 2170020890 is an apocalyptic number.

170020890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 170020890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248572800).

170020890 is an abundant number, since it is smaller than the sum of its proper divisors (327124710).

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

170020890 is a wasteful number, since it uses less digits than its factorization.

170020890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909 (or 903 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 170020890 is about 13039.2058807276. The cubic root of 170020890 is about 553.9885156208.

The spelling of 170020890 in words is "one hundred seventy million, twenty thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 59 65 78 90 117 118 130 135 177 195 234 270 295 351 354 390 531 585 590 702 767 821 885 1062 1170 1534 1593 1642 1755 1770 2301 2463 2655 3186 3510 3835 4105 4602 4926 5310 6903 7389 7670 7965 8210 10673 11505 12315 13806 14778 15930 20709 21346 22167 23010 24630 32019 34515 36945 41418 44334 48439 53365 64038 69030 73890 96057 96878 103545 106730 110835 145317 160095 192114 207090 221670 242195 288171 290634 320190 435951 480285 484390 576342 629707 726585 871902 960570 1259414 1307853 1440855 1453170 1889121 2179755 2615706 2881710 3148535 3778242 4359510 5667363 6297070 6539265 9445605 11334726 13078530 17002089 18891210 28336815 34004178 56673630 85010445 170020890