Search a number
-
+
166376540 = 225111953751
BaseRepresentation
bin10011110101010…
…11010001011100
3102121001210201002
421322223101130
5320043022130
624302005432
74060114541
oct1172532134
9377053632
10166376540
1185a08180
1247876878
1328613c75
141814cbc8
15e916b45
hex9eab45c

166376540 has 96 divisors (see below), whose sum is σ = 409328640. Its totient is φ = 56160000.

The previous prime is 166376533. The next prime is 166376543. The reversal of 166376540 is 45673661.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 166376494 and 166376503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166376543) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 221165 + ... + 221915.

It is an arithmetic number, because the mean of its divisors is an integer number (4263840).

Almost surely, 2166376540 is an apocalyptic number.

166376540 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 166376540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204664320).

166376540 is an abundant number, since it is smaller than the sum of its proper divisors (242952100).

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

166376540 is a wasteful number, since it uses less digits than its factorization.

166376540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 38.

The square root of 166376540 is about 12898.7030355769. The cubic root of 166376540 is about 550.0016969645.

The spelling of 166376540 in words is "one hundred sixty-six million, three hundred seventy-six thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 53 55 76 95 106 110 190 209 212 220 265 380 418 530 583 751 836 1007 1045 1060 1166 1502 2014 2090 2332 2915 3004 3755 4028 4180 5035 5830 7510 8261 10070 11077 11660 14269 15020 16522 20140 22154 28538 33044 39803 41305 44308 55385 57076 71345 79606 82610 110770 142690 156959 159212 165220 199015 221540 285380 313918 398030 437833 627836 756257 784795 796060 875666 1512514 1569590 1751332 2189165 3025028 3139180 3781285 4378330 7562570 8318827 8756660 15125140 16637654 33275308 41594135 83188270 166376540