Search a number
-
+
166292680 = 23531592273
BaseRepresentation
bin10011110100101…
…10110011001000
3102120220112200011
421322112303020
5320032331210
624300121304
74056315211
oct1172266310
9376815604
10166292680
1185960174
1247836234
13285b4a48
141812a408
15e8ebd8a
hex9e96cc8

166292680 has 64 divisors (see below), whose sum is σ = 392947200. Its totient is φ = 63252480.

The previous prime is 166292677. The next prime is 166292681. The reversal of 166292680 is 86292661.

It is a happy number.

166292680 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (166292681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72024 + ... + 74296.

It is an arithmetic number, because the mean of its divisors is an integer number (6139800).

Almost surely, 2166292680 is an apocalyptic number.

166292680 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 166292680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196473600).

166292680 is an abundant number, since it is smaller than the sum of its proper divisors (226654520).

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

166292680 is a wasteful number, since it uses less digits than its factorization.

166292680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2374 (or 2370 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The square root of 166292680 is about 12895.4519114299. The cubic root of 166292680 is about 549.9092742913.

The spelling of 166292680 in words is "one hundred sixty-six million, two hundred ninety-two thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 31 40 59 62 118 124 155 236 248 295 310 472 590 620 1180 1240 1829 2273 2360 3658 4546 7316 9092 9145 11365 14632 18184 18290 22730 36580 45460 70463 73160 90920 134107 140926 268214 281852 352315 536428 563704 670535 704630 1072856 1341070 1409260 2682140 2818520 4157317 5364280 8314634 16629268 20786585 33258536 41573170 83146340 166292680