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168719980 = 2251121331173
BaseRepresentation
bin10100000111001…
…11011001101100
3102202110212022011
422003213121230
5321143014410
624424131004
74116044662
oct1203473154
9382425264
10168719980
1187268900
1248606a64
1328c54810
141859cc32
15ec2b18a
hexa0e766c

168719980 has 144 divisors (see below), whose sum is σ = 435439872. Its totient is φ = 54489600.

The previous prime is 168719977. The next prime is 168719983. The reversal of 168719980 is 89917861.

168719980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (168719977) and next prime (168719983).

It is not an unprimeable number, because it can be changed into a prime (168719983) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 975174 + ... + 975346.

It is an arithmetic number, because the mean of its divisors is an integer number (3023888).

Almost surely, 2168719980 is an apocalyptic number.

168719980 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 168719980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217719936).

168719980 is an abundant number, since it is smaller than the sum of its proper divisors (266719892).

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

168719980 is a wasteful number, since it uses less digits than its factorization.

168719980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 49.

The square root of 168719980 is about 12989.2255350348. The cubic root of 168719980 is about 552.5719540748.

The spelling of 168719980 in words is "one hundred sixty-eight million, seven hundred nineteen thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 11 13 20 22 26 31 44 52 55 62 65 110 121 124 130 143 155 173 220 242 260 286 310 341 346 403 484 572 605 620 682 692 715 806 865 1210 1364 1430 1573 1612 1705 1730 1903 2015 2249 2420 2860 3146 3410 3460 3751 3806 4030 4433 4498 5363 6292 6820 7502 7612 7865 8060 8866 8996 9515 10726 11245 15004 15730 17732 18755 19030 20933 21452 22165 22490 24739 26815 31460 37510 38060 41866 44330 44980 48763 49478 53630 58993 69719 75020 83732 88660 97526 98956 104665 107260 117986 123695 139438 195052 209330 235972 243815 247390 272129 278876 294965 348595 418660 487630 494780 544258 589930 648923 697190 766909 975260 1088516 1179860 1297846 1360645 1394380 1533818 2595692 2721290 3067636 3244615 3834545 5442580 6489230 7669090 8435999 12978460 15338180 16871998 33743996 42179995 84359990 168719980