Search a number
-
+
102407820 = 22351706797
BaseRepresentation
bin1100001101010…
…01111010001100
321010200212010020
412012221322030
5202204022240
614054542140
72352311034
oct606517214
9233625106
10102407820
1152896569
122a367950
13182a7758
14d85a8c4
158ecd0d0
hex61a9e8c

102407820 has 24 divisors (see below), whose sum is σ = 286742064. Its totient is φ = 27308736.

The previous prime is 102407797. The next prime is 102407827. The reversal of 102407820 is 28704201.

It is not an unprimeable number, because it can be changed into a prime (102407827) 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 7 ways as a sum of consecutive naturals, for example, 853339 + ... + 853458.

It is an arithmetic number, because the mean of its divisors is an integer number (11947586).

Almost surely, 2102407820 is an apocalyptic number.

102407820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102407820 is an abundant number, since it is smaller than the sum of its proper divisors (184334244).

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

102407820 is a wasteful number, since it uses less digits than its factorization.

102407820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1706809 (or 1706807 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 102407820 is about 10119.6748959638. The cubic root of 102407820 is about 467.8547470915.

The spelling of 102407820 in words is "one hundred two million, four hundred seven thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1706797 3413594 5120391 6827188 8533985 10240782 17067970 20481564 25601955 34135940 51203910 102407820