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130410240 = 283533961
BaseRepresentation
bin1111100010111…
…10011100000000
3100002101112012220
413301132130000
5231341111430
620535051040
73142316532
oct761363400
9302345186
10130410240
1167682164
1237810a80
132103042c
1413469852
15b6b0110
hex7c5e700

130410240 has 72 divisors (see below), whose sum is σ = 416509968. Its totient is φ = 34775040.

The previous prime is 130410239. The next prime is 130410251. The reversal of 130410240 is 42014031.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

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, 13141 + ... + 20820.

Almost surely, 2130410240 is an apocalyptic number.

130410240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130410240 is an abundant number, since it is smaller than the sum of its proper divisors (286099728).

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

130410240 is an equidigital number, since it uses as much as digits as its factorization.

130410240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33985 (or 33971 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 130410240 is about 11419.7302945385. The cubic root of 130410240 is about 507.1120122558.

Adding to 130410240 its reverse (42014031), we get a palindrome (172424271).

The spelling of 130410240 in words is "one hundred thirty million, four hundred ten thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 3840 33961 67922 101883 135844 169805 203766 271688 339610 407532 509415 543376 679220 815064 1018830 1086752 1358440 1630128 2037660 2173504 2716880 3260256 4075320 4347008 5433760 6520512 8150640 8694016 10867520 13041024 16301280 21735040 26082048 32602560 43470080 65205120 130410240