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130154464 = 2511438599
BaseRepresentation
bin1111100000111…
…11111111100000
3100001220112100201
413300133333200
5231304420324
620525354544
73140203036
oct760377740
9301815321
10130154464
1167517a80
1237708a54
1320c70b9b
1413400556
15b65e444
hex7c1ffe0

130154464 has 48 divisors (see below), whose sum is σ = 286070400. Its totient is φ = 57778560.

The previous prime is 130154449. The next prime is 130154473. The reversal of 130154464 is 464451031.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10837 + ... + 19435.

It is an arithmetic number, because the mean of its divisors is an integer number (5959800).

Almost surely, 2130154464 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 130154464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143035200).

130154464 is an abundant number, since it is smaller than the sum of its proper divisors (155915936).

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

130154464 is a wasteful number, since it uses less digits than its factorization.

130154464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8663 (or 8655 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 130154464 is about 11408.5259345807. The cubic root of 130154464 is about 506.7802592341.

The spelling of 130154464 in words is "one hundred thirty million, one hundred fifty-four thousand, four hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 32 43 44 86 88 172 176 344 352 473 688 946 1376 1892 3784 7568 8599 15136 17198 34396 68792 94589 137584 189178 275168 369757 378356 739514 756712 1479028 1513424 2958056 3026848 4067327 5916112 8134654 11832224 16269308 32538616 65077232 130154464