[go: up one dir, main page]

Search a number
-
+
102742254 = 23217714729
BaseRepresentation
bin1100001111110…
…11100011101110
321011022211212200
412013323203232
5202300223004
614110042330
72355203046
oct607734356
9234284780
10102742254
1152aa485a
122a4a93a6
1318393a44
14d906726
159047239
hex61fb8ee

102742254 has 48 divisors (see below), whose sum is σ = 239073120. Its totient is φ = 31772160.

The previous prime is 102742231. The next prime is 102742259. The reversal of 102742254 is 452247201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102742259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19362 + ... + 24090.

It is an arithmetic number, because the mean of its divisors is an integer number (4980690).

Almost surely, 2102742254 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102742254, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119536560).

102742254 is an abundant number, since it is smaller than the sum of its proper divisors (136330866).

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

102742254 is a wasteful number, since it uses less digits than its factorization.

102742254 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4825 (or 4822 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 102742254 is about 10136.1853771525. The cubic root of 102742254 is about 468.3634859690.

Adding to 102742254 its reverse (452247201), we get a palindrome (554989455).

The spelling of 102742254 in words is "one hundred two million, seven hundred forty-two thousand, two hundred fifty-four".

Divisors: 1 2 3 6 9 17 18 34 51 71 102 142 153 213 306 426 639 1207 1278 2414 3621 4729 7242 9458 10863 14187 21726 28374 42561 80393 85122 160786 241179 335759 482358 671518 723537 1007277 1447074 2014554 3021831 5707903 6043662 11415806 17123709 34247418 51371127 102742254