Search a number
-
+
1300405896 = 233271254383
BaseRepresentation
bin100110110000010…
…1001111010001000
310100121221110112100
41031200221322020
510130400442041
6333012113400
744140160556
oct11540517210
93317843470
101300405896
11608055219
12303605860
1317954a95a
14c49c8bd6
15792706b6
hex4d829e88

1300405896 has 48 divisors (see below), whose sum is σ = 3571551360. Its totient is φ = 427361760.

The previous prime is 1300405891. The next prime is 1300405913. The reversal of 1300405896 is 6985040031.

1300405896 is a `hidden beast` number, since 1 + 30 + 0 + 40 + 589 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1300405896.

It is not an unprimeable number, because it can be changed into a prime (1300405891) 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, 122080 + ... + 132303.

It is an arithmetic number, because the mean of its divisors is an integer number (74407320).

Almost surely, 21300405896 is an apocalyptic number.

It is an amenable number.

1300405896 is an abundant number, since it is smaller than the sum of its proper divisors (2271145464).

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

1300405896 is a wasteful number, since it uses less digits than its factorization.

1300405896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254466 (or 254459 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1300405896 is about 36061.1410801156. The cubic root of 1300405896 is about 1091.5064589352.

The spelling of 1300405896 in words is "one billion, three hundred million, four hundred five thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 71 72 142 213 284 426 568 639 852 1278 1704 2556 5112 254383 508766 763149 1017532 1526298 2035064 2289447 3052596 4578894 6105192 9157788 18061193 18315576 36122386 54183579 72244772 108367158 144489544 162550737 216734316 325101474 433468632 650202948 1300405896