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130006436 = 22719317883
BaseRepresentation
bin1111011111110…
…11110110100100
3100001122000022012
413233323312210
5231240201221
620522253352
73136015340
oct757736644
9301560265
10130006436
116742683a
1237657258
1320c1b6b1
14133a2620
15b63065b
hex7bfbda4

130006436 has 48 divisors (see below), whose sum is σ = 282562560. Its totient is φ = 51075360.

The previous prime is 130006427. The next prime is 130006439. The reversal of 130006436 is 634600031.

It is not an unprimeable number, because it can be changed into a prime (130006439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12551 + ... + 20433.

It is an arithmetic number, because the mean of its divisors is an integer number (5886720).

Almost surely, 2130006436 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130006436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141281280).

130006436 is an abundant number, since it is smaller than the sum of its proper divisors (152556124).

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

130006436 is a wasteful number, since it uses less digits than its factorization.

130006436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7944 (or 7942 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

The square root of 130006436 is about 11402.0364847689. The cubic root of 130006436 is about 506.5880616361.

Adding to 130006436 its reverse (634600031), we get a palindrome (764606467).

The spelling of 130006436 in words is "one hundred thirty million, six thousand, four hundred thirty-six".

Divisors: 1 2 4 7 14 19 28 31 38 62 76 124 133 217 266 434 532 589 868 1178 2356 4123 7883 8246 15766 16492 31532 55181 110362 149777 220724 244373 299554 488746 599108 977492 1048439 1710611 2096878 3421222 4193756 4643087 6842444 9286174 18572348 32501609 65003218 130006436