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166140040 = 235112316417
BaseRepresentation
bin10011110011100…
…01100010001000
3102120121210021211
421321301202020
5320012440130
624252542504
74055111203
oct1171614210
9376553254
10166140040
1185866520
1247781a34
1328560421
14180ca93a
15e8bba2a
hex9e71888

166140040 has 64 divisors (see below), whose sum is σ = 425554560. Its totient is φ = 57784320.

The previous prime is 166140019. The next prime is 166140041. The reversal of 166140040 is 40041661.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 166139993 and 166140020.

It is not an unprimeable number, because it can be changed into a prime (166140041) 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, 1912 + ... + 18328.

It is an arithmetic number, because the mean of its divisors is an integer number (6649290).

Almost surely, 2166140040 is an apocalyptic number.

166140040 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 166140040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212777280).

166140040 is an abundant number, since it is smaller than the sum of its proper divisors (259414520).

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

166140040 is a wasteful number, since it uses less digits than its factorization.

166140040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16462 (or 16458 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 166140040 is about 12889.5321870113. The cubic root of 166140040 is about 549.7409689335.

The spelling of 166140040 in words is "one hundred sixty-six million, one hundred forty thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 23 40 44 46 55 88 92 110 115 184 220 230 253 440 460 506 920 1012 1265 2024 2530 5060 10120 16417 32834 65668 82085 131336 164170 180587 328340 361174 377591 656680 722348 755182 902935 1444696 1510364 1805870 1887955 3020728 3611740 3775910 4153501 7223480 7551820 8307002 15103640 16614004 20767505 33228008 41535010 83070020 166140040