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130355000 = 235429231
BaseRepresentation
bin1111100010100…
…00111100111000
3100002021201102222
413301100330320
5231332330000
620533543212
73141666506
oct761207470
9302251388
10130355000
1167644706
12377a4b08
1321011249
1413453676
15b69da85
hex7c50f38

130355000 has 120 divisors (see below), whose sum is σ = 326520480. Its totient is φ = 48720000.

The previous prime is 130354957. The next prime is 130355003. The reversal of 130355000 is 553031.

It is a self number, because there is not a number n which added to its sum of digits gives 130355000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130355003) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 4204985 + ... + 4205015.

It is an arithmetic number, because the mean of its divisors is an integer number (2721004).

Almost surely, 2130355000 is an apocalyptic number.

130355000 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 130355000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163260240).

130355000 is an abundant number, since it is smaller than the sum of its proper divisors (196165480).

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

130355000 is an equidigital number, since it uses as much as digits as its factorization.

130355000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 17.

The square root of 130355000 is about 11417.3114173171. The cubic root of 130355000 is about 507.0404002316.

The spelling of 130355000 in words is "one hundred thirty million, three hundred fifty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 29 31 40 50 58 62 100 116 124 125 145 155 200 232 248 250 290 310 500 580 620 625 725 775 841 899 1000 1160 1240 1250 1450 1550 1682 1798 2500 2900 3100 3364 3596 3625 3875 4205 4495 5000 5800 6200 6728 7192 7250 7750 8410 8990 14500 15500 16820 17980 18125 19375 21025 22475 26071 29000 31000 33640 35960 36250 38750 42050 44950 52142 72500 77500 84100 89900 104284 105125 112375 130355 145000 155000 168200 179800 208568 210250 224750 260710 420500 449500 521420 525625 561875 651775 841000 899000 1042840 1051250 1123750 1303550 2102500 2247500 2607100 3258875 4205000 4495000 5214200 6517750 13035500 16294375 26071000 32588750 65177500 130355000