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166400130 = 235131313257
BaseRepresentation
bin10011110101100…
…01000010000010
3102121010000001210
421322301002002
5320044301010
624302310550
74060243401
oct1172610202
9377100053
10166400130
1185a23976
1247888456
1328621920
1418157638
15e91db20
hex9eb1082

166400130 has 64 divisors (see below), whose sum is σ = 433496448. Its totient is φ = 40634880.

The previous prime is 166400123. The next prime is 166400141. The reversal of 166400130 is 31004661.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 166400097 and 166400106.

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 31 ways as a sum of consecutive naturals, for example, 49462 + ... + 52718.

It is an arithmetic number, because the mean of its divisors is an integer number (6773382).

Almost surely, 2166400130 is an apocalyptic number.

166400130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 166400130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216748224).

166400130 is an abundant number, since it is smaller than the sum of its proper divisors (267096318).

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

166400130 is a wasteful number, since it uses less digits than its factorization.

166400130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3411.

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 166400130 is about 12899.6174361878. The cubic root of 166400130 is about 550.0276900660.

Adding to 166400130 its reverse (31004661), we get a palindrome (197404791).

The spelling of 166400130 in words is "one hundred sixty-six million, four hundred thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 131 195 262 390 393 655 786 1310 1703 1965 3257 3406 3930 5109 6514 8515 9771 10218 16285 17030 19542 25545 32570 42341 48855 51090 84682 97710 127023 211705 254046 423410 426667 635115 853334 1270230 1280001 2133335 2560002 4266670 5546671 6400005 11093342 12800010 16640013 27733355 33280026 55466710 83200065 166400130