Search a number
-
+
166314630 = 23537269557
BaseRepresentation
bin10011110100111…
…00001010000110
3102120221122210010
421322130022012
5320034032010
624300411050
74056436206
oct1172341206
9376848703
10166314630
1185975709
1247846a86
13285c1a31
1418134406
15e903620
hex9e9c286

166314630 has 64 divisors (see below), whose sum is σ = 412205760. Its totient is φ = 42914304.

The previous prime is 166314613. The next prime is 166314637. The reversal of 166314630 is 36413661.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166314637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 298312 + ... + 298868.

It is an arithmetic number, because the mean of its divisors is an integer number (6440715).

Almost surely, 2166314630 is an apocalyptic number.

166314630 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 166314630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206102880).

166314630 is an abundant number, since it is smaller than the sum of its proper divisors (245891130).

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

166314630 is a wasteful number, since it uses less digits than its factorization.

166314630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873.

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 166314630 is about 12896.3029586002. The cubic root of 166314630 is about 549.9334685363.

The spelling of 166314630 in words is "one hundred sixty-six million, three hundred fourteen thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 185 222 269 370 538 555 557 807 1110 1114 1345 1614 1671 2690 2785 3342 4035 5570 8070 8355 9953 16710 19906 20609 29859 41218 49765 59718 61827 99530 103045 123654 149295 149833 206090 298590 299666 309135 449499 618270 749165 898998 1498330 2247495 4494990 5543821 11087642 16631463 27719105 33262926 55438210 83157315 166314630