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166444040 = 23571374339
BaseRepresentation
bin10011110101110…
…11110000001000
3102121012020022002
421322323300020
5320102202130
624303250132
74060515410
oct1172736010
9377166262
10166444040
1185a53964
12478a9948
13286388c9
1418169640
15e92bb45
hex9ebbc08

166444040 has 64 divisors (see below), whose sum is σ = 431222400. Its totient is φ = 56636928.

The previous prime is 166444039. The next prime is 166444043. The reversal of 166444040 is 40444661.

166444040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1664440403 (a number of 26 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 166443994 and 166444012.

It is not an unprimeable number, because it can be changed into a prime (166444043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36191 + ... + 40529.

It is an arithmetic number, because the mean of its divisors is an integer number (6737850).

Almost surely, 2166444040 is an apocalyptic number.

166444040 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 166444040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215611200).

166444040 is an abundant number, since it is smaller than the sum of its proper divisors (264778360).

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

166444040 is a wasteful number, since it uses less digits than its factorization.

166444040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4494 (or 4490 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

The square root of 166444040 is about 12901.3193123804. The cubic root of 166444040 is about 550.0760666143.

The spelling of 166444040 in words is "one hundred sixty-six million, four hundred forty-four thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 137 140 274 280 548 685 959 1096 1370 1918 2740 3836 4339 4795 5480 7672 8678 9590 17356 19180 21695 30373 34712 38360 43390 60746 86780 121492 151865 173560 242984 303730 594443 607460 1188886 1214920 2377772 2972215 4161101 4755544 5944430 8322202 11888860 16644404 20805505 23777720 33288808 41611010 83222020 166444040