Search a number
-
+
1368709248 = 27311173191
BaseRepresentation
bin101000110010100…
…1101100010000000
310112101110122010010
41101211031202000
510300342143443
6343452104520
745626556654
oct12145154200
93471418103
101368709248
11642667575
12322465140
1318a74413a
14cdac8a64
1580263733
hex5194d880

1368709248 has 64 divisors (see below), whose sum is σ = 3640029120. Its totient is φ = 455685120.

The previous prime is 1368709211. The next prime is 1368709261. The reversal of 1368709248 is 8429078631.

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 (48).

It is a junction number, because it is equal to n+sod(n) for n = 1368709197 and 1368709206.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 427333 + ... + 430523.

It is an arithmetic number, because the mean of its divisors is an integer number (56875455).

Almost surely, 21368709248 is an apocalyptic number.

It is an amenable number.

1368709248 is an abundant number, since it is smaller than the sum of its proper divisors (2271319872).

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

1368709248 is a wasteful number, since it uses less digits than its factorization.

1368709248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4325 (or 4313 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The square root of 1368709248 is about 36996.0707102795. The cubic root of 1368709248 is about 1110.2916334601.

The spelling of 1368709248 in words is "one billion, three hundred sixty-eight million, seven hundred nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 1117 2234 3191 3351 4468 6382 6702 8936 9573 12764 13404 17872 19146 25528 26808 35744 38292 51056 53616 71488 76584 102112 107232 142976 153168 204224 214464 306336 408448 428928 612672 1225344 3564347 7128694 10693041 14257388 21386082 28514776 42772164 57029552 85544328 114059104 171088656 228118208 342177312 456236416 684354624 1368709248