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161585060 = 225713471889
BaseRepresentation
bin10011010000110…
…01011110100100
3102021001101000212
421220121132210
5312331210220
624011154552
74001310320
oct1150313644
9367041025
10161585060
118323527a
1246145a58
1327627080
1417662980
15e2bc0c5
hex9a197a4

161585060 has 96 divisors (see below), whose sum is σ = 426746880. Its totient is φ = 50024448.

The previous prime is 161585057. The next prime is 161585069. The reversal of 161585060 is 60585161.

It is a happy number.

It is a super-2 number, since 2×1615850602 = 52219463230407200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (161585069) 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 31 ways as a sum of consecutive naturals, for example, 84596 + ... + 86484.

It is an arithmetic number, because the mean of its divisors is an integer number (4445280).

Almost surely, 2161585060 is an apocalyptic number.

161585060 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 161585060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213373440).

161585060 is an abundant number, since it is smaller than the sum of its proper divisors (265161820).

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

161585060 is a wasteful number, since it uses less digits than its factorization.

161585060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1965 (or 1963 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 32.

The square root of 161585060 is about 12711.6112275352. The cubic root of 161585060 is about 544.6703502647.

The spelling of 161585060 in words is "one hundred sixty-one million, five hundred eighty-five thousand, sixty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 47 52 65 70 91 94 130 140 182 188 235 260 329 364 455 470 611 658 910 940 1222 1316 1645 1820 1889 2444 3055 3290 3778 4277 6110 6580 7556 8554 9445 12220 13223 17108 18890 21385 24557 26446 37780 42770 49114 52892 66115 85540 88783 98228 122785 132230 171899 177566 245570 264460 343798 355132 443915 491140 621481 687596 859495 887830 1154179 1242962 1718990 1775660 2308358 2485924 3107405 3437980 4616716 5770895 6214810 8079253 11541790 12429620 16158506 23083580 32317012 40396265 80792530 161585060