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165981340 = 225719232713
BaseRepresentation
bin10011110010010…
…10110010011100
3102120022201121001
421321022302130
5314442400330
624245320044
74053550420
oct1171126234
9376281531
10165981340
1185768268
1247706024
1328506115
1418088b80
15e8899ca
hex9e4ac9c

165981340 has 96 divisors (see below), whose sum is σ = 437713920. Its totient is φ = 51549696.

The previous prime is 165981331. The next prime is 165981349. The reversal of 165981340 is 43189561.

165981340 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (165981331) and next prime (165981349).

It is a self number, because there is not a number n which added to its sum of digits gives 165981340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165981349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59824 + ... + 62536.

It is an arithmetic number, because the mean of its divisors is an integer number (4559520).

Almost surely, 2165981340 is an apocalyptic number.

165981340 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 165981340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218856960).

165981340 is an abundant number, since it is smaller than the sum of its proper divisors (271732580).

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

165981340 is a wasteful number, since it uses less digits than its factorization.

165981340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2771 (or 2769 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 37.

The square root of 165981340 is about 12883.3745579332. The cubic root of 165981340 is about 549.5658722992.

The spelling of 165981340 in words is "one hundred sixty-five million, nine hundred eighty-one thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 19 20 23 28 35 38 46 70 76 92 95 115 133 140 161 190 230 266 322 380 437 460 532 644 665 805 874 1330 1610 1748 2185 2660 2713 3059 3220 4370 5426 6118 8740 10852 12236 13565 15295 18991 27130 30590 37982 51547 54260 61180 62399 75964 94955 103094 124798 189910 206188 249596 257735 311995 360829 379820 436793 515470 623990 721658 873586 1030940 1185581 1247980 1443316 1747172 1804145 2183965 2371162 3608290 4367930 4742324 5927905 7216580 8299067 8735860 11855810 16598134 23711620 33196268 41495335 82990670 165981340