Search a number
-
+
168506364 = 2231319139409
BaseRepresentation
bin10100000101100…
…11001111111100
3102202002000021110
422002303033330
5321114200424
624415402020
74114165125
oct1202631774
9382060243
10168506364
1187132364
1248523310
1328bab510
141854504c
15ebd7c29
hexa0b33fc

168506364 has 96 divisors (see below), whose sum is σ = 450016000. Its totient is φ = 48646656.

The previous prime is 168506341. The next prime is 168506389. The reversal of 168506364 is 463605861.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 411792 + ... + 412200.

Almost surely, 2168506364 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 168506364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225008000).

168506364 is an abundant number, since it is smaller than the sum of its proper divisors (281509636).

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

168506364 is a wasteful number, since it uses less digits than its factorization.

168506364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 168506364 is about 12981.0001155535. Note that the first 3 decimals coincide. The cubic root of 168506364 is about 552.3386522027.

The spelling of 168506364 in words is "one hundred sixty-eight million, five hundred six thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 52 57 76 78 114 139 156 228 247 278 409 417 494 556 741 818 834 988 1227 1482 1636 1668 1807 2454 2641 2964 3614 4908 5282 5317 5421 7228 7771 7923 10564 10634 10842 15542 15846 15951 21268 21684 23313 31084 31692 31902 34333 46626 56851 63804 68666 93252 101023 102999 113702 137332 170553 202046 205998 227404 303069 341106 404092 411996 606138 682212 739063 1080169 1212276 1478126 2160338 2217189 2956252 3240507 4320676 4434378 6481014 8868756 12962028 14042197 28084394 42126591 56168788 84253182 168506364