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130535010 = 23351728439
BaseRepresentation
bin1111100011111…
…00111001100010
3100002121212101000
413301330321202
5231404110020
620541452430
73143346354
oct761747142
9302555330
10130535010
1167757981
1237871116
1321075168
141349d0d4
15b6d7090
hex7c7ce62

130535010 has 64 divisors (see below), whose sum is σ = 368582400. Its totient is φ = 32760576.

The previous prime is 130534973. The next prime is 130535011. The reversal of 130535010 is 10535031.

It is a happy number.

130535010 is a `hidden beast` number, since 1 + 305 + 350 + 10 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (130535011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9630 + ... + 18809.

It is an arithmetic number, because the mean of its divisors is an integer number (5759100).

Almost surely, 2130535010 is an apocalyptic number.

130535010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

130535010 is an abundant number, since it is smaller than the sum of its proper divisors (238047390).

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

130535010 is a wasteful number, since it uses less digits than its factorization.

130535010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28472 (or 28466 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 18.

The square root of 130535010 is about 11425.1919021083. The cubic root of 130535010 is about 507.2736871822.

It can be divided in two parts, 1305 and 35010, that added together give a triangular number (36315 = T269).

The spelling of 130535010 in words is "one hundred thirty million, five hundred thirty-five thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 85 90 102 135 153 170 255 270 306 459 510 765 918 1530 2295 4590 28439 56878 85317 142195 170634 255951 284390 426585 483463 511902 767853 853170 966926 1279755 1450389 1535706 2417315 2559510 2900778 3839265 4351167 4834630 7251945 7678530 8702334 13053501 14503890 21755835 26107002 43511670 65267505 130535010