Search a number
-
+
102315420 = 22335189473
BaseRepresentation
bin1100001100100…
…11010110011100
321010112011101000
412012103112130
5202143043140
614052550300
72351444454
oct606232634
9233464330
10102315420
11528330a9
122a322390
131827468c
14d834d64
158eb0a30
hex619359c

102315420 has 48 divisors (see below), whose sum is σ = 318316320. Its totient is φ = 27283968.

The previous prime is 102315419. The next prime is 102315427. The reversal of 102315420 is 24513201.

102315420 is a `hidden beast` number, since 10 + 231 + 5 + 420 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 102315393 and 102315402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102315427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94197 + ... + 95276.

It is an arithmetic number, because the mean of its divisors is an integer number (6631590).

Almost surely, 2102315420 is an apocalyptic number.

102315420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102315420 is an abundant number, since it is smaller than the sum of its proper divisors (216000900).

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

102315420 is a wasteful number, since it uses less digits than its factorization.

102315420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189491 (or 189483 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 102315420 is about 10115.1085016425. The cubic root of 102315420 is about 467.7139935603.

Adding to 102315420 its reverse (24513201), we get a palindrome (126828621).

It can be divided in two parts, 10231 and 5420, that added together give a palindrome (15651).

The spelling of 102315420 in words is "one hundred two million, three hundred fifteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 189473 378946 568419 757892 947365 1136838 1705257 1894730 2273676 2842095 3410514 3789460 5115771 5684190 6821028 8526285 10231542 11368380 17052570 20463084 25578855 34105140 51157710 102315420