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102300420 = 223514911443
BaseRepresentation
bin1100001100011…
…11101100000100
321010111101210110
412012033230010
5202142103140
614052353020
72351352645
oct606175404
9233441713
10102300420
1152822902
122a315770
131826a8c1
14d82d6cc
158eab380
hex618fb04

102300420 has 48 divisors (see below), whose sum is σ = 288388800. Its totient is φ = 27094656.

The previous prime is 102300413. The next prime is 102300433. The reversal of 102300420 is 24003201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 102300396 and 102300405.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3219 + ... + 14661.

It is an arithmetic number, because the mean of its divisors is an integer number (6008100).

Almost surely, 2102300420 is an apocalyptic number.

102300420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102300420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144194400).

102300420 is an abundant number, since it is smaller than the sum of its proper divisors (186088380).

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

102300420 is a wasteful number, since it uses less digits than its factorization.

102300420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11604 (or 11602 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 102300420 is about 10114.3670093585. The cubic root of 102300420 is about 467.6911359670.

Adding to 102300420 its reverse (24003201), we get a palindrome (126303621).

The spelling of 102300420 in words is "one hundred two million, three hundred thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 149 298 447 596 745 894 1490 1788 2235 2980 4470 8940 11443 22886 34329 45772 57215 68658 114430 137316 171645 228860 343290 686580 1705007 3410014 5115021 6820028 8525035 10230042 17050070 20460084 25575105 34100140 51150210 102300420