Search a number
-
+
168301980 = 2232571112143
BaseRepresentation
bin10100000100000…
…01010110011100
3102201200121220200
422002001112130
5321041130410
624411143500
74112354220
oct1202012634
9381617820
10168301980
1187002850
1248444b90
1328b39492
14184d0780
15eb973c0
hexa08159c

168301980 has 144 divisors (see below), whose sum is σ = 636539904. Its totient is φ = 34968960.

The previous prime is 168301979. The next prime is 168302003. The reversal of 168301980 is 89103861.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7789 + ... + 19931.

It is an arithmetic number, because the mean of its divisors is an integer number (4420416).

Almost surely, 2168301980 is an apocalyptic number.

168301980 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 168301980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318269952).

168301980 is an abundant number, since it is smaller than the sum of its proper divisors (468237924).

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

168301980 is a wasteful number, since it uses less digits than its factorization.

168301980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12176 (or 12171 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 168301980 is about 12973.1252980922. The cubic root of 168301980 is about 552.1152484631.

The spelling of 168301980 in words is "one hundred sixty-eight million, three hundred one thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 11 12 14 15 18 20 21 22 28 30 33 35 36 42 44 45 55 60 63 66 70 77 84 90 99 105 110 126 132 140 154 165 180 198 210 220 231 252 308 315 330 385 396 420 462 495 630 660 693 770 924 990 1155 1260 1386 1540 1980 2310 2772 3465 4620 6930 12143 13860 24286 36429 48572 60715 72858 85001 109287 121430 133573 145716 170002 182145 218574 242860 255003 267146 340004 364290 400719 425005 437148 510006 534292 546435 667865 728580 765009 801438 850010 935011 1020012 1092870 1202157 1275015 1335730 1530018 1602876 1700020 1870022 2003595 2185740 2404314 2550030 2671460 2805033 3060036 3740044 3825045 4007190 4675055 4808628 5100060 5610066 6010785 7650090 8014380 8415099 9350110 11220132 12021570 14025165 15300180 16830198 18700220 24043140 28050330 33660396 42075495 56100660 84150990 168301980