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1301686480 = 24516699749
BaseRepresentation
bin100110110010110…
…0010100011010000
310100201100112011101
41031211202203100
510131212431410
6333055354144
744154103213
oct11545424320
93321315141
101301686480
1160884a356
12303b22954
131798a87b3
14c4c3d77a
1579424d3a
hex4d9628d0

1301686480 has 40 divisors (see below), whose sum is σ = 3028545000. Its totient is φ = 520309248.

The previous prime is 1301686459. The next prime is 1301686487. The reversal of 1301686480 is 846861031.

It can be written as a sum of positive squares in 4 ways, for example, as 25482304 + 1276204176 = 5048^2 + 35724^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1301686487) 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 7 ways as a sum of consecutive naturals, for example, 128646 + ... + 138394.

It is an arithmetic number, because the mean of its divisors is an integer number (75713625).

Almost surely, 21301686480 is an apocalyptic number.

1301686480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1301686480 is an abundant number, since it is smaller than the sum of its proper divisors (1726858520).

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

1301686480 is a wasteful number, since it uses less digits than its factorization.

1301686480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11431 (or 11425 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 1301686480 is about 36078.8924441979. The cubic root of 1301686480 is about 1091.8646309855.

The spelling of 1301686480 in words is "one billion, three hundred one million, six hundred eighty-six thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1669 3338 6676 8345 9749 13352 16690 19498 26704 33380 38996 48745 66760 77992 97490 133520 155984 194980 389960 779920 16271081 32542162 65084324 81355405 130168648 162710810 260337296 325421620 650843240 1301686480