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130048240 = 2457263883
BaseRepresentation
bin1111100000001…
…10000011110000
3100001201010122111
413300012003300
5231243020430
620523215104
73136251250
oct760060360
9301633574
10130048240
1167455193
1237677494
1320c3472a
14133b3960
15b63cc2a
hex7c060f0

130048240 has 80 divisors (see below), whose sum is σ = 347263488. Its totient is φ = 44368128.

The previous prime is 130048189. The next prime is 130048277. The reversal of 130048240 is 42840031.

It is a tau number, because it is divible by the number of its divisors (80).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 146839 + ... + 147721.

Almost surely, 2130048240 is an apocalyptic number.

130048240 is a gapful number since it is divisible by the number (10) 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 130048240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173631744).

130048240 is an abundant number, since it is smaller than the sum of its proper divisors (217215248).

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

130048240 is a wasteful number, since it uses less digits than its factorization.

130048240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1166 (or 1160 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 130048240 is about 11403.8695187204. The cubic root of 130048240 is about 506.6423541735.

Adding to 130048240 its reverse (42840031), we get a palindrome (172888271).

The spelling of 130048240 in words is "one hundred thirty million, forty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 263 280 526 560 883 1052 1315 1766 1841 2104 2630 3532 3682 4208 4415 5260 6181 7064 7364 8830 9205 10520 12362 14128 14728 17660 18410 21040 24724 29456 30905 35320 36820 49448 61810 70640 73640 98896 123620 147280 232229 247240 464458 494480 928916 1161145 1625603 1857832 2322290 3251206 3715664 4644580 6502412 8128015 9289160 13004824 16256030 18578320 26009648 32512060 65024120 130048240