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161099040 = 25351013323
BaseRepresentation
bin10011001101000…
…10110100100000
3102020010200100010
421212202310200
5312220132130
623552524520
73664214334
oct1146426440
9366120303
10161099040
1182a33103
1245b50740
13274b6a9b
14175777c4
15e2230b0
hex99a2d20

161099040 has 96 divisors (see below), whose sum is σ = 512640576. Its totient is φ = 42521600.

The previous prime is 161099017. The next prime is 161099041. The reversal of 161099040 is 40990161.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 161098989 and 161099007.

It is not an unprimeable number, because it can be changed into a prime (161099041) 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 15 ways as a sum of consecutive naturals, for example, 46819 + ... + 50141.

It is an arithmetic number, because the mean of its divisors is an integer number (5340006).

Almost surely, 2161099040 is an apocalyptic number.

161099040 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 161099040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256320288).

161099040 is an abundant number, since it is smaller than the sum of its proper divisors (351541536).

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

161099040 is a wasteful number, since it uses less digits than its factorization.

161099040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3442 (or 3434 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The square root of 161099040 is about 12692.4796631706. The cubic root of 161099040 is about 544.1237103310.

The spelling of 161099040 in words is "one hundred sixty-one million, ninety-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 101 120 160 202 240 303 404 480 505 606 808 1010 1212 1515 1616 2020 2424 3030 3232 3323 4040 4848 6060 6646 8080 9696 9969 12120 13292 16160 16615 19938 24240 26584 33230 39876 48480 49845 53168 66460 79752 99690 106336 132920 159504 199380 265840 319008 335623 398760 531680 671246 797520 1006869 1342492 1595040 1678115 2013738 2684984 3356230 4027476 5034345 5369968 6712460 8054952 10068690 10739936 13424920 16109904 20137380 26849840 32219808 40274760 53699680 80549520 161099040