Search a number
-
+
102506620 = 22527718503
BaseRepresentation
bin1100001110000…
…10000001111100
321010212212122111
412013002001330
5202220202440
614101023404
72353202056
oct607020174
9233785574
10102506620
1152953817
122a3b4b64
1318310708
14d8848d6
158eec4ea
hex61c207c

102506620 has 24 divisors (see below), whose sum is σ = 216052704. Its totient is φ = 40852416.

The previous prime is 102506609. The next prime is 102506623. The reversal of 102506620 is 26605201.

It is a junction number, because it is equal to n+sod(n) for n = 102506591 and 102506600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102506623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3712 + ... + 14791.

It is an arithmetic number, because the mean of its divisors is an integer number (9002196).

Almost surely, 2102506620 is an apocalyptic number.

102506620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102506620 is an abundant number, since it is smaller than the sum of its proper divisors (113546084).

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

102506620 is a wasteful number, since it uses less digits than its factorization.

102506620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18789 (or 18787 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 102506620 is about 10124.5552988761. Note that the first 3 decimals coincide. The cubic root of 102506620 is about 468.0051561513.

The spelling of 102506620 in words is "one hundred two million, five hundred six thousand, six hundred twenty".

Divisors: 1 2 4 5 10 20 277 554 1108 1385 2770 5540 18503 37006 74012 92515 185030 370060 5125331 10250662 20501324 25626655 51253310 102506620