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130554100 = 22528914669
BaseRepresentation
bin1111100100000…
…01100011110100
3100002122211120001
413302001203310
5231410212400
620542121044
73143456125
oct762014364
9302584501
10130554100
1167770256
1237880184
1321080a61
14134a604c
15b6dca6a
hex7c818f4

130554100 has 36 divisors (see below), whose sum is σ = 286505100. Its totient is φ = 51631360.

The previous prime is 130554097. The next prime is 130554107. The reversal of 130554100 is 1455031.

It can be written as a sum of positive squares in 6 ways, for example, as 7033104 + 123520996 = 2652^2 + 11114^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130554107) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1566 + ... + 16234.

It is an arithmetic number, because the mean of its divisors is an integer number (7958475).

Almost surely, 2130554100 is an apocalyptic number.

130554100 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 130554100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143252550).

130554100 is an abundant number, since it is smaller than the sum of its proper divisors (155951000).

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

130554100 is a wasteful number, since it uses less digits than its factorization.

130554100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14772 (or 14765 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 130554100 is about 11426.0273061113. The cubic root of 130554100 is about 507.2984146037.

The spelling of 130554100 in words is "one hundred thirty million, five hundred fifty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 89 100 178 356 445 890 1780 2225 4450 8900 14669 29338 58676 73345 146690 293380 366725 733450 1305541 1466900 2611082 5222164 6527705 13055410 26110820 32638525 65277050 130554100