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166017040 = 2457893331
BaseRepresentation
bin10011110010100…
…11100000010000
3102120101112120021
421321103200100
5320000021130
624250153224
74054056460
oct1171234020
9376345507
10166017040
1185792072
1247722814
1328519447
1418097ba0
15e89537a
hex9e53810

166017040 has 80 divisors (see below), whose sum is σ = 446221440. Its totient is φ = 56263680.

The previous prime is 166017029. The next prime is 166017073. The reversal of 166017040 is 40710661.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 166016996 and 166017014.

It is an unprimeable number.

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, 48175 + ... + 51505.

It is an arithmetic number, because the mean of its divisors is an integer number (5577768).

Almost surely, 2166017040 is an apocalyptic number.

166017040 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 166017040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223110720).

166017040 is an abundant number, since it is smaller than the sum of its proper divisors (280204400).

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

166017040 is a wasteful number, since it uses less digits than its factorization.

166017040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3440 (or 3434 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 166017040 is about 12884.7599900037. The cubic root of 166017040 is about 549.6052704934.

The spelling of 166017040 in words is "one hundred sixty-six million, seventeen thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 89 112 140 178 280 356 445 560 623 712 890 1246 1424 1780 2492 3115 3331 3560 4984 6230 6662 7120 9968 12460 13324 16655 23317 24920 26648 33310 46634 49840 53296 66620 93268 116585 133240 186536 233170 266480 296459 373072 466340 592918 932680 1185836 1482295 1865360 2075213 2371672 2964590 4150426 4743344 5929180 8300852 10376065 11858360 16601704 20752130 23716720 33203408 41504260 83008520 166017040