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130424070 = 23573111997
BaseRepresentation
bin1111100011000…
…01110100000110
3100002102020012010
413301201310012
5231342032240
620535235050
73142405050
oct761416406
9302366163
10130424070
1167691597
1237818a86
132103680a
14134708d0
15b6b4280
hex7c61d06

130424070 has 64 divisors (see below), whose sum is σ = 359064576. Its totient is φ = 29700480.

The previous prime is 130424069. The next prime is 130424081. The reversal of 130424070 is 70424031.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

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 31 ways as a sum of consecutive naturals, for example, 64312 + ... + 66308.

It is an arithmetic number, because the mean of its divisors is an integer number (5610384).

Almost surely, 2130424070 is an apocalyptic number.

130424070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 130424070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179532288).

130424070 is an abundant number, since it is smaller than the sum of its proper divisors (228640506).

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

130424070 is a wasteful number, since it uses less digits than its factorization.

130424070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2325.

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 130424070 is about 11420.3358094235. The cubic root of 130424070 is about 507.1299380240.

The spelling of 130424070 in words is "one hundred thirty million, four hundred twenty-four thousand, seventy".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 311 622 933 1555 1866 1997 2177 3110 3994 4354 4665 5991 6531 9330 9985 10885 11982 13062 13979 19970 21770 27958 29955 32655 41937 59910 65310 69895 83874 139790 209685 419370 621067 1242134 1863201 3105335 3726402 4347469 6210670 8694938 9316005 13042407 18632010 21737345 26084814 43474690 65212035 130424070