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180312704 = 2711139851
BaseRepresentation
bin10101011111101…
…01101010000000
3110120021211112022
422233311222000
5332130001304
625520421012
74316430005
oct1257655200
9416254468
10180312704
1192866670
1250477768
132b483310
1419d398ac
1510c6aebe
hexabf5a80

180312704 has 64 divisors (see below), whose sum is σ = 422059680. Its totient is φ = 75648000.

The previous prime is 180312703. The next prime is 180312707. The reversal of 180312704 is 407213081.

180312704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (180312703) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13379 + ... + 23229.

Almost surely, 2180312704 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 180312704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211029840).

180312704 is an abundant number, since it is smaller than the sum of its proper divisors (241746976).

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

180312704 is a wasteful number, since it uses less digits than its factorization.

180312704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9889 (or 9877 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 180312704 is about 13428.0565980338. The cubic root of 180312704 is about 564.9483900962.

Adding to 180312704 its reverse (407213081), we get a palindrome (587525785).

The spelling of 180312704 in words is "one hundred eighty million, three hundred twelve thousand, seven hundred four".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 128 143 176 208 286 352 416 572 704 832 1144 1408 1664 2288 4576 9152 9851 18304 19702 39404 78808 108361 128063 157616 216722 256126 315232 433444 512252 630464 866888 1024504 1260928 1408693 1733776 2049008 2817386 3467552 4098016 5634772 6935104 8196032 11269544 13870208 16392064 22539088 45078176 90156352 180312704