Search a number
-
+
153770166 = 232115913163
BaseRepresentation
bin10010010101001…
…01100010110110
3101201100100000100
421022211202312
5303331121131
623131454530
73545011344
oct1112454266
9351310010
10153770166
1179887890
12435b7446
1325b1bc84
14165ca994
15d7767e6
hex92a58b6

153770166 has 48 divisors (see below), whose sum is σ = 369645120. Its totient is φ = 45803760.

The previous prime is 153770161. The next prime is 153770189. The reversal of 153770166 is 661077351.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 153770166.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153770161) 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 23 ways as a sum of consecutive naturals, for example, 5101 + ... + 18263.

It is an arithmetic number, because the mean of its divisors is an integer number (7700940).

Almost surely, 2153770166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153770166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184822560).

153770166 is an abundant number, since it is smaller than the sum of its proper divisors (215874954).

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

153770166 is a wasteful number, since it uses less digits than its factorization.

153770166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13241 (or 13238 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 153770166 is about 12400.4099125795. The cubic root of 153770166 is about 535.7440557018.

The spelling of 153770166 in words is "one hundred fifty-three million, seven hundred seventy thousand, one hundred sixty-six".

Divisors: 1 2 3 6 9 11 18 22 33 59 66 99 118 177 198 354 531 649 1062 1298 1947 3894 5841 11682 13163 26326 39489 78978 118467 144793 236934 289586 434379 776617 868758 1303137 1553234 2329851 2606274 4659702 6989553 8542787 13979106 17085574 25628361 51256722 76885083 153770166