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130468401 = 36737691
BaseRepresentation
bin1111100011011…
…00101000110001
3100002111111000000
413301230220301
5231344442101
620540220213
73142651230
oct761545061
9302444000
10130468401
1167711928
123783a669
1321050a4b
1413482b17
15b6c2486
hex7c6ca31

130468401 has 56 divisors (see below), whose sum is σ = 229932224. Its totient is φ = 72433440.

The previous prime is 130468391. The next prime is 130468409. The reversal of 130468401 is 104864031.

It is not a de Polignac number, because 130468401 - 26 = 130468337 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130468409) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 188466 + ... + 189156.

Almost surely, 2130468401 is an apocalyptic number.

It is an amenable number.

130468401 is a deficient number, since it is larger than the sum of its proper divisors (99463823).

130468401 is an frugal number, since it uses more digits than its factorization.

130468401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 130468401 is about 11422.2765244062. The cubic root of 130468401 is about 507.1873891540.

The spelling of 130468401 in words is "one hundred thirty million, four hundred sixty-eight thousand, four hundred one".

Divisors: 1 3 7 9 21 27 37 63 81 111 189 243 259 333 567 691 729 777 999 1701 2073 2331 2997 4837 5103 6219 6993 8991 14511 18657 20979 25567 26973 43533 55971 62937 76701 130599 167913 178969 188811 230103 391797 503739 536907 690309 1175391 1610721 2070927 3526173 4832163 6212781 14496489 18638343 43489467 130468401