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161827020 = 223255316963
BaseRepresentation
bin10011010010101…
…00100011001100
3102021111122221100
421221110203030
5312411431040
624020303100
74003335615
oct1151244314
9367448840
10161827020
1183390043
1246241a90
13276b0244
14176c6c0c
15e318b30
hex9a548cc

161827020 has 72 divisors (see below), whose sum is σ = 500166576. Its totient is φ = 42337152.

The previous prime is 161827019. The next prime is 161827021. The reversal of 161827020 is 20728161.

161827020 is a `hidden beast` number, since 1 + 618 + 27 + 0 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (161827019) and next prime (161827021).

It is not an unprimeable number, because it can be changed into a prime (161827021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1059 + ... + 18021.

It is an arithmetic number, because the mean of its divisors is an integer number (6946758).

Almost surely, 2161827020 is an apocalyptic number.

161827020 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 161827020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250083288).

161827020 is an abundant number, since it is smaller than the sum of its proper divisors (338339556).

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

161827020 is a wasteful number, since it uses less digits than its factorization.

161827020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17031 (or 17026 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 161827020 is about 12721.1249502550. The cubic root of 161827020 is about 544.9420806502.

The spelling of 161827020 in words is "one hundred sixty-one million, eight hundred twenty-seven thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 53 60 90 106 159 180 212 265 318 477 530 636 795 954 1060 1590 1908 2385 3180 4770 9540 16963 33926 50889 67852 84815 101778 152667 169630 203556 254445 305334 339260 508890 610668 763335 899039 1017780 1526670 1798078 2697117 3053340 3596156 4495195 5394234 8091351 8990390 10788468 13485585 16182702 17980780 26971170 32365404 40456755 53942340 80913510 161827020