Search a number
-
+
102169242 = 2337318719
BaseRepresentation
bin1100001011011…
…11101010011010
321010020201212000
412011233222122
5202123403432
614045501430
72350265340
oct605575232
9233221760
10102169242
115274329a
122a271876
1318222c96
14d7d7990
158e8257c
hex616fa9a

102169242 has 64 divisors (see below), whose sum is σ = 267878400. Its totient is φ = 28246320.

The previous prime is 102169231. The next prime is 102169259. The reversal of 102169242 is 242961201.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7359 + ... + 16077.

It is an arithmetic number, because the mean of its divisors is an integer number (4185600).

Almost surely, 2102169242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102169242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133939200).

102169242 is an abundant number, since it is smaller than the sum of its proper divisors (165709158).

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

102169242 is a wasteful number, since it uses less digits than its factorization.

102169242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8768 (or 8762 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 102169242 is about 10107.8801931958. The cubic root of 102169242 is about 467.4911464670.

The spelling of 102169242 in words is "one hundred two million, one hundred sixty-nine thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 31 42 54 62 63 93 126 186 189 217 279 378 434 558 651 837 1302 1674 1953 3906 5859 8719 11718 17438 26157 52314 61033 78471 122066 156942 183099 235413 270289 366198 470826 540578 549297 810867 1098594 1621734 1647891 1892023 2432601 3295782 3784046 4865202 5676069 7297803 11352138 14595606 17028207 34056414 51084621 102169242