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130170500 = 22532571013
BaseRepresentation
bin1111100001000…
…11111010000100
3100001221100100122
413300203322010
5231310424000
620530001112
73140300555
oct760437204
9301840318
10130170500
1167529029
1237716198
1320c78285
141340632c
15b664085
hex7c23e84

130170500 has 48 divisors (see below), whose sum is σ = 285680304. Its totient is φ = 51814400.

The previous prime is 130170499. The next prime is 130170533. The reversal of 130170500 is 5071031.

130170500 = T457 + T458 + ... + T956.

It can be written as a sum of positive squares in 8 ways, for example, as 47141956 + 83028544 = 6866^2 + 9112^2 .

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, 127994 + ... + 129006.

It is an arithmetic number, because the mean of its divisors is an integer number (5951673).

Almost surely, 2130170500 is an apocalyptic number.

130170500 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 130170500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142840152).

130170500 is an abundant number, since it is smaller than the sum of its proper divisors (155509804).

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

130170500 is a wasteful number, since it uses less digits than its factorization.

130170500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1289 (or 1277 counting only the distinct ones).

The product of its (nonzero) digits is 105, while the sum is 17.

The square root of 130170500 is about 11409.2287206454. The cubic root of 130170500 is about 506.8010714144.

The spelling of 130170500 in words is "one hundred thirty million, one hundred seventy thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 257 500 514 1013 1028 1285 2026 2570 4052 5065 5140 6425 10130 12850 20260 25325 25700 32125 50650 64250 101300 126625 128500 253250 260341 506500 520682 1041364 1301705 2603410 5206820 6508525 13017050 26034100 32542625 65085250 130170500