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161681040 = 24325415477
BaseRepresentation
bin10011010001100…
…00111010010000
3102021020020200200
421220300322100
5312342243130
624013215200
74002160203
oct1150607220
9367206620
10161681040
11832a03a4
1246191500
132765b971
141768993a
15e2da760
hex9a30e90

161681040 has 120 divisors (see below), whose sum is σ = 556323768. Its totient is φ = 42055680.

The previous prime is 161680997. The next prime is 161681041. The reversal of 161681040 is 40186161.

161681040 is a `hidden beast` number, since 1 + 616 + 8 + 1 + 0 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 26749584 + 134931456 = 5172^2 + 11616^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×1616810402 = 52281517390963200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 161680995 and 161681013.

It is not an unprimeable number, because it can be changed into a prime (161681041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26782 + ... + 32258.

Almost surely, 2161681040 is an apocalyptic number.

161681040 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 161681040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278161884).

161681040 is an abundant number, since it is smaller than the sum of its proper divisors (394642728).

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

161681040 is a wasteful number, since it uses less digits than its factorization.

161681040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5537 (or 5528 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 161681040 is about 12715.3859556051. The cubic root of 161681040 is about 544.7781719343.

The spelling of 161681040 in words is "one hundred sixty-one million, six hundred eighty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 41 45 48 60 72 80 82 90 120 123 144 164 180 205 240 246 328 360 369 410 492 615 656 720 738 820 984 1230 1476 1640 1845 1968 2460 2952 3280 3690 4920 5477 5904 7380 9840 10954 14760 16431 21908 27385 29520 32862 43816 49293 54770 65724 82155 87632 98586 109540 131448 164310 197172 219080 224557 246465 262896 328620 394344 438160 449114 492930 657240 673671 788688 898228 985860 1122785 1314480 1347342 1796456 1971720 2021013 2245570 2694684 3368355 3592912 3943440 4042026 4491140 5389368 6736710 8084052 8982280 10105065 10778736 13473420 16168104 17964560 20210130 26946840 32336208 40420260 53893680 80840520 161681040