Search a number
-
+
1368656820 = 2232531245279
BaseRepresentation
bin101000110010100…
…0000101110110100
310112101100222012100
41101211000232310
510300334004240
6343451022100
745626251056
oct12145005664
93471328170
101368656820
11642631143
1232243a930
1318a72630b
14cdab38d6
1580252e30
hex51940bb4

1368656820 has 72 divisors (see below), whose sum is σ = 4285532160. Its totient is φ = 353200320.

The previous prime is 1368656819. The next prime is 1368656833. The reversal of 1368656820 is 286568631.

1368656820 is a `hidden beast` number, since 1 + 3 + 6 + 86 + 568 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 117060 + ... + 128219.

It is an arithmetic number, because the mean of its divisors is an integer number (59521280).

Almost surely, 21368656820 is an apocalyptic number.

1368656820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1368656820 is an abundant number, since it is smaller than the sum of its proper divisors (2916875340).

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

1368656820 is a wasteful number, since it uses less digits than its factorization.

1368656820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245325 (or 245320 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 1368656820 is about 36995.3621417604. The cubic root of 1368656820 is about 1110.2774568156.

The spelling of 1368656820 in words is "one billion, three hundred sixty-eight million, six hundred fifty-six thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 180 186 279 310 372 465 558 620 930 1116 1395 1860 2790 5580 245279 490558 735837 981116 1226395 1471674 2207511 2452790 2943348 3679185 4415022 4905580 7358370 7603649 8830044 11037555 14716740 15207298 22075110 22810947 30414596 38018245 44150220 45621894 68432841 76036490 91243788 114054735 136865682 152072980 228109470 273731364 342164205 456218940 684328410 1368656820