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168893820 = 223259191021
BaseRepresentation
bin10100001000100…
…01110101111100
3102202210200202200
422010101311330
5321214100240
624431551500
74120400544
oct1204216574
9382720680
10168893820
1187377477
124868b590
1328cb5994
1418606324
15ec62930
hexa111d7c

168893820 has 72 divisors (see below), whose sum is σ = 513371040. Its totient is φ = 44945280.

The previous prime is 168893783. The next prime is 168893821. The reversal of 168893820 is 28398861.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168893821) 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 23 ways as a sum of consecutive naturals, for example, 164910 + ... + 165930.

Almost surely, 2168893820 is an apocalyptic number.

168893820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

168893820 is an abundant number, since it is smaller than the sum of its proper divisors (344477220).

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

168893820 is a wasteful number, since it uses less digits than its factorization.

168893820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1955 (or 1950 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 168893820 is about 12995.9155121907. The cubic root of 168893820 is about 552.7616690806.

The spelling of 168893820 in words is "one hundred sixty-eight million, eight hundred ninety-three thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 919 1021 1838 2042 2757 3063 3676 4084 4595 5105 5514 6126 8271 9189 9190 10210 11028 12252 13785 15315 16542 18378 18380 20420 27570 30630 33084 36756 41355 45945 55140 61260 82710 91890 165420 183780 938299 1876598 2814897 3753196 4691495 5629794 8444691 9382990 11259588 14074485 16889382 18765980 28148970 33778764 42223455 56297940 84446910 168893820