Search a number
-
+
102034242 = 235712957
BaseRepresentation
bin1100001010011…
…10101101000010
321002222212200000
412011032231002
5202110043432
614042540430
72346163632
oct605165502
9232885600
10102034242
1152660922
122a207716
13181a66bb
14d7a06c2
158e5757c
hex614eb42

102034242 has 48 divisors (see below), whose sum is σ = 232569792. Its totient is φ = 33521040.

The previous prime is 102034241. The next prime is 102034243. The reversal of 102034242 is 242430201.

It is an interprime number because it is at equal distance from previous prime (102034241) and next prime (102034243).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (102034241) 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, 33028 + ... + 35984.

It is an arithmetic number, because the mean of its divisors is an integer number (4845204).

Almost surely, 2102034242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102034242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116284896).

102034242 is an abundant number, since it is smaller than the sum of its proper divisors (130535550).

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

102034242 is an equidigital number, since it uses as much as digits as its factorization.

102034242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3045 (or 3033 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 102034242 is about 10101.2000277195. The cubic root of 102034242 is about 467.2851512605.

Adding to 102034242 its reverse (242430201), we get a palindrome (344464443).

The spelling of 102034242 in words is "one hundred two million, thirty-four thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 71 81 142 162 213 243 426 486 639 1278 1917 2957 3834 5751 5914 8871 11502 17253 17742 26613 34506 53226 79839 159678 209947 239517 419894 479034 629841 718551 1259682 1437102 1889523 3779046 5668569 11337138 17005707 34011414 51017121 102034242