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166526420 = 22531416551
BaseRepresentation
bin10011110110011…
…11110111010100
3102121100102022012
421323033313110
5320112321140
624305123352
74061310524
oct1173176724
9377312265
10166526420
1185aaa845
1247929558
1328667258
141818b684
15e946265
hex9ecfdd4

166526420 has 48 divisors (see below), whose sum is σ = 369847296. Its totient is φ = 62880000.

The previous prime is 166526413. The next prime is 166526473. The reversal of 166526420 is 24625661.

166526420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22145 + ... + 28695.

It is an arithmetic number, because the mean of its divisors is an integer number (7705152).

Almost surely, 2166526420 is an apocalyptic number.

166526420 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 166526420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184923648).

166526420 is an abundant number, since it is smaller than the sum of its proper divisors (203320876).

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

166526420 is a wasteful number, since it uses less digits than its factorization.

166526420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6632 (or 6630 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 166526420 is about 12904.5116141604. The cubic root of 166526420 is about 550.1668034014.

The spelling of 166526420 in words is "one hundred sixty-six million, five hundred twenty-six thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 31 41 62 82 124 155 164 205 310 410 620 820 1271 2542 5084 6355 6551 12710 13102 25420 26204 32755 65510 131020 203081 268591 406162 537182 812324 1015405 1074364 1342955 2030810 2685910 4061620 5371820 8326321 16652642 33305284 41631605 83263210 166526420