Search a number
-
+
168998670 = 23353161331
BaseRepresentation
bin10100001001010…
…11011100001110
3102210000000121000
422010223130032
5321230424140
624434121130
74121315331
oct1204533416
9383000530
10168998670
1187439225
12487201a6
1329021619
1418632618
15ec83a30
hexa12b70e

168998670 has 128 divisors (see below), whose sum is σ = 474255360. Its totient is φ = 42768000.

The previous prime is 168998663. The next prime is 168998677. The reversal of 168998670 is 76899861.

It is an interprime number because it is at equal distance from previous prime (168998663) and next prime (168998677).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168998677) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 510405 + ... + 510735.

It is an arithmetic number, because the mean of its divisors is an integer number (3705120).

Almost surely, 2168998670 is an apocalyptic number.

168998670 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 168998670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237127680).

168998670 is an abundant number, since it is smaller than the sum of its proper divisors (305256690).

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

168998670 is a wasteful number, since it uses less digits than its factorization.

168998670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The square root of 168998670 is about 12999.9488460532. The cubic root of 168998670 is about 552.8760310149.

The spelling of 168998670 in words is "one hundred sixty-eight million, nine hundred ninety-eight thousand, six hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 31 45 54 61 62 90 93 122 135 155 183 186 270 279 305 310 331 366 465 549 558 610 662 837 915 930 993 1098 1395 1647 1655 1674 1830 1891 1986 2745 2790 2979 3294 3310 3782 4185 4965 5490 5673 5958 8235 8370 8937 9455 9930 10261 11346 14895 16470 17019 17874 18910 20191 20522 28365 29790 30783 34038 40382 44685 51057 51305 56730 60573 61566 85095 89370 92349 100955 102114 102610 121146 153915 170190 181719 184698 201910 255285 277047 302865 307830 363438 461745 510570 545157 554094 605730 625921 908595 923490 1090314 1251842 1385235 1817190 1877763 2725785 2770470 3129605 3755526 5451570 5633289 6259210 9388815 11266578 16899867 18777630 28166445 33799734 56332890 84499335 168998670