Search a number
-
+
166133440 = 26511109433
BaseRepresentation
bin10011110011011…
…11111011000000
3102120121110020101
421321233323000
5320012232230
624252452144
74055053024
oct1171577300
9376543211
10166133440
1185861570
124777a054
132855a415
14180c8384
15e8b9aca
hex9e6fec0

166133440 has 112 divisors (see below), whose sum is σ = 436534560. Its totient is φ = 59719680.

The previous prime is 166133419. The next prime is 166133453. The reversal of 166133440 is 44331661.

It is a junction number, because it is equal to n+sod(n) for n = 166133399 and 166133408.

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, 383464 + ... + 383896.

It is an arithmetic number, because the mean of its divisors is an integer number (3897630).

Almost surely, 2166133440 is an apocalyptic number.

166133440 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 166133440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218267280).

166133440 is an abundant number, since it is smaller than the sum of its proper divisors (270401120).

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

166133440 is a wasteful number, since it uses less digits than its factorization.

166133440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 166133440 is about 12889.2761627641. The cubic root of 166133440 is about 549.7336892546.

The spelling of 166133440 in words is "one hundred sixty-six million, one hundred thirty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 109 110 160 176 218 220 320 352 433 436 440 545 704 866 872 880 1090 1199 1732 1744 1760 2165 2180 2398 3464 3488 3520 4330 4360 4763 4796 5995 6928 6976 8660 8720 9526 9592 11990 13856 17320 17440 19052 19184 23815 23980 27712 34640 34880 38104 38368 47197 47630 47960 69280 76208 76736 94394 95260 95920 138560 152416 188788 190520 191840 235985 304832 377576 381040 383680 471970 519167 755152 762080 943940 1038334 1510304 1524160 1887880 2076668 2595835 3020608 3775760 4153336 5191670 7551520 8306672 10383340 15103040 16613344 20766680 33226688 41533360 83066720 166133440