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130146048 = 283319991
BaseRepresentation
bin1111100000111…
…01111100000000
3100001220002211000
413300131330000
5231304133143
620525252000
73140136354
oct760357400
9301802730
10130146048
116751171a
1237704000
1320c6a0c6
14133db464
15b65bbd3
hex7c1df00

130146048 has 144 divisors (see below), whose sum is σ = 405529600. Its totient is φ = 41057280.

The previous prime is 130146031. The next prime is 130146061. The reversal of 130146048 is 840641031.

It is a tau number, because it is divible by the number of its divisors (144).

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

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 15 ways as a sum of consecutive naturals, for example, 130833 + ... + 131823.

Almost surely, 2130146048 is an apocalyptic number.

130146048 is a gapful number since it is divisible by the number (18) 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 130146048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202764800).

130146048 is an abundant number, since it is smaller than the sum of its proper divisors (275383552).

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

130146048 is an equidigital number, since it uses as much as digits as its factorization.

130146048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035 (or 1015 counting only the distinct ones).

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

The square root of 130146048 is about 11408.1570816675. The cubic root of 130146048 is about 506.7693359192.

Adding to 130146048 its reverse (840641031), we get a palindrome (970787079).

The spelling of 130146048 in words is "one hundred thirty million, one hundred forty-six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 96 108 114 128 144 152 171 192 216 228 256 288 304 342 384 432 456 513 576 608 684 768 864 912 991 1026 1152 1216 1368 1728 1824 1982 2052 2304 2432 2736 2973 3456 3648 3964 4104 4864 5472 5946 6912 7296 7928 8208 8919 10944 11892 14592 15856 16416 17838 18829 21888 23784 26757 31712 32832 35676 37658 43776 47568 53514 56487 63424 65664 71352 75316 95136 107028 112974 126848 131328 142704 150632 169461 190272 214056 225948 253696 285408 301264 338922 380544 428112 451896 508383 570816 602528 677844 761088 856224 903792 1016766 1141632 1205056 1355688 1712448 1807584 2033532 2283264 2410112 2711376 3424896 3615168 4067064 4820224 5422752 6849792 7230336 8134128 10845504 14460672 16268256 21691008 32536512 43382016 65073024 130146048