Search a number
-
+
166387440 = 2435739497
BaseRepresentation
bin10011110101011…
…01111011110000
3102121002100122210
421322231323300
5320043344230
624302132120
74060161402
oct1172557360
9377070583
10166387440
1185a1538a
1247881040
1328618c0b
1418152b72
15e919eb0
hex9eadef0

166387440 has 80 divisors (see below), whose sum is σ = 522921888. Its totient is φ = 43757568.

The previous prime is 166387439. The next prime is 166387453. The reversal of 166387440 is 44783661.

166387440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12772 + ... + 22268.

Almost surely, 2166387440 is an apocalyptic number.

166387440 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 166387440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261460944).

166387440 is an abundant number, since it is smaller than the sum of its proper divisors (356534448).

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

166387440 is a wasteful number, since it uses less digits than its factorization.

166387440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9586 (or 9580 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 166387440 is about 12899.1255517574. The cubic root of 166387440 is about 550.0137076473.

The spelling of 166387440 in words is "one hundred sixty-six million, three hundred eighty-seven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 73 80 120 146 219 240 292 365 438 584 730 876 1095 1168 1460 1752 2190 2920 3504 4380 5840 8760 9497 17520 18994 28491 37988 47485 56982 75976 94970 113964 142455 151952 189940 227928 284910 379880 455856 569820 693281 759760 1139640 1386562 2079843 2279280 2773124 3466405 4159686 5546248 6932810 8319372 10399215 11092496 13865620 16638744 20798430 27731240 33277488 41596860 55462480 83193720 166387440