Search a number
-
+
102034420 = 2258575953
BaseRepresentation
bin1100001010011…
…10101111110100
321002222212220121
412011032233310
5202110100140
614042541324
72346164305
oct605165764
9232885817
10102034420
1152660a74
122a207844
13181a67c7
14d7a07ac
158e5764a
hex614ebf4

102034420 has 24 divisors (see below), whose sum is σ = 214558344. Its totient is φ = 40759296.

The previous prime is 102034409. The next prime is 102034421. The reversal of 102034420 is 24430201.

It can be written as a sum of positive squares in 4 ways, for example, as 5326864 + 96707556 = 2308^2 + 9834^2 .

It is a super-2 number, since 2×1020344202 = 20822045729472800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102034394 and 102034403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102034421) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14164 + ... + 20116.

It is an arithmetic number, because the mean of its divisors is an integer number (8939931).

Almost surely, 2102034420 is an apocalyptic number.

102034420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102034420 is an abundant number, since it is smaller than the sum of its proper divisors (112523924).

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

102034420 is a wasteful number, since it uses less digits than its factorization.

102034420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6819 (or 6817 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 102034420 is about 10101.2088385500. The cubic root of 102034420 is about 467.2854229886.

Adding to 102034420 its reverse (24430201), we get a palindrome (126464621).

The spelling of 102034420 in words is "one hundred two million, thirty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 857 1714 3428 4285 5953 8570 11906 17140 23812 29765 59530 119060 5101721 10203442 20406884 25508605 51017210 102034420