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130413420 = 22325724519
BaseRepresentation
bin1111100010111…
…11001101101100
3100002101200120200
413301133031230
5231341212140
620535113500
73142332024
oct761371554
9302350520
10130413420
1167684595
1237812890
1321031a07
141346aa84
15b6b1030
hex7c5f36c

130413420 has 36 divisors (see below), whose sum is σ = 395587920. Its totient is φ = 34776864.

The previous prime is 130413407. The next prime is 130413431. The reversal of 130413420 is 24314031.

It is a tau number, because it is divible by the number of its divisors (36).

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 = 130413393 and 130413402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 362080 + ... + 362439.

Almost surely, 2130413420 is an apocalyptic number.

130413420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130413420 is an abundant number, since it is smaller than the sum of its proper divisors (265174500).

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

130413420 is a wasteful number, since it uses less digits than its factorization.

130413420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724534 (or 724529 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 130413420 is about 11419.8695264000. The cubic root of 130413420 is about 507.1161341281.

Adding to 130413420 its reverse (24314031), we get a palindrome (154727451).

It can be divided in two parts, 13041 and 3420, that added together give a palindrome (16461).

The spelling of 130413420 in words is "one hundred thirty million, four hundred thirteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 724519 1449038 2173557 2898076 3622595 4347114 6520671 7245190 8694228 10867785 13041342 14490380 21735570 26082684 32603355 43471140 65206710 130413420