Search a number
-
+
165642150 = 23521816101
BaseRepresentation
bin10011101111101…
…11111110100110
3102112200111022110
421313313332212
5314401022100
624234141450
74050635502
oct1167677646
9375614273
10165642150
1185556443
1247581886
132841790b
1417ddb302
15e81e250
hex9df7fa6

165642150 has 48 divisors (see below), whose sum is σ = 413129808. Its totient is φ = 43920000.

The previous prime is 165642143. The next prime is 165642151. The reversal of 165642150 is 51246561.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165642151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24100 + ... + 30200.

It is an arithmetic number, because the mean of its divisors is an integer number (8606871).

Almost surely, 2165642150 is an apocalyptic number.

165642150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 165642150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206564904).

165642150 is an abundant number, since it is smaller than the sum of its proper divisors (247487658).

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

165642150 is a wasteful number, since it uses less digits than its factorization.

165642150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6297 (or 6292 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 165642150 is about 12870.2039610878. The cubic root of 165642150 is about 549.1912631822.

The spelling of 165642150 in words is "one hundred sixty-five million, six hundred forty-two thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 181 362 543 905 1086 1810 2715 4525 5430 6101 9050 12202 13575 18303 27150 30505 36606 61010 91515 152525 183030 305050 457575 915150 1104281 2208562 3312843 5521405 6625686 11042810 16564215 27607025 33128430 55214050 82821075 165642150