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130797520 = 2457192647
BaseRepresentation
bin1111100101111…
…00111111010000
3100010010012110121
413302330333100
5231441010040
620551240024
73145521610
oct762747720
9303105417
10130797520
1167917127
1237979014
13211377a9
141352aa40
15b739c4a
hex7cbcfd0

130797520 has 120 divisors (see below), whose sum is σ = 367369344. Its totient is φ = 42418944.

The previous prime is 130797517. The next prime is 130797523. The reversal of 130797520 is 25797031.

It is an interprime number because it is at equal distance from previous prime (130797517) and next prime (130797523).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130797523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 201837 + ... + 202483.

Almost surely, 2130797520 is an apocalyptic number.

130797520 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 130797520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183684672).

130797520 is an abundant number, since it is smaller than the sum of its proper divisors (236571824).

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

130797520 is a wasteful number, since it uses less digits than its factorization.

130797520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 34.

The square root of 130797520 is about 11436.6743417831. The cubic root of 130797520 is about 507.6135072537.

The spelling of 130797520 in words is "one hundred thirty million, seven hundred ninety-seven thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 35 38 40 56 70 76 80 95 112 133 140 152 190 266 280 304 361 380 532 560 647 665 722 760 1064 1294 1330 1444 1520 1805 2128 2527 2588 2660 2888 3235 3610 4529 5054 5176 5320 5776 6470 7220 9058 10108 10352 10640 12293 12635 12940 14440 18116 20216 22645 24586 25270 25880 28880 36232 40432 45290 49172 50540 51760 61465 72464 86051 90580 98344 101080 122930 172102 181160 196688 202160 233567 245860 344204 362320 430255 467134 491720 688408 860510 934268 983440 1167835 1376816 1634969 1721020 1868536 2335670 3269938 3442040 3737072 4671340 6539876 6884080 8174845 9342680 13079752 16349690 18685360 26159504 32699380 65398760 130797520