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1368146784 = 25325156779
BaseRepresentation
bin101000110001100…
…0100001101100000
310112100102001120010
41101203010031200
510300221144114
6343432044520
745622025064
oct12143041540
93470361503
101368146784
11642312a24
12322233740
1318a5a8114
14cd9bdaa4
15801a1c59
hex518c4360

1368146784 has 48 divisors (see below), whose sum is σ = 3605757120. Its totient is φ = 454224000.

The previous prime is 1368146779. The next prime is 1368146797. The reversal of 1368146784 is 4876418631.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 4294 + ... + 52485.

It is an arithmetic number, because the mean of its divisors is an integer number (75119940).

Almost surely, 21368146784 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 1368146784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1802878560).

1368146784 is an abundant number, since it is smaller than the sum of its proper divisors (2237610336).

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

1368146784 is a wasteful number, since it uses less digits than its factorization.

1368146784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57043 (or 57035 counting only the distinct ones).

The product of its digits is 774144, while the sum is 48.

The square root of 1368146784 is about 36988.4682570122. The cubic root of 1368146784 is about 1110.1395230834.

The spelling of 1368146784 in words is "one billion, three hundred sixty-eight million, one hundred forty-six thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 251 502 753 1004 1506 2008 3012 4016 6024 8032 12048 24096 56779 113558 170337 227116 340674 454232 681348 908464 1362696 1816928 2725392 5450784 14251529 28503058 42754587 57006116 85509174 114012232 171018348 228024464 342036696 456048928 684073392 1368146784