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1368770688 = 27321188169
BaseRepresentation
bin101000110010101…
…1100100010000000
310112101120202101200
41101211130202000
510300401130223
6343453301200
745630234045
oct12145344200
93471522350
101368770688
116426a974a
12322494800
1318a7660ac
14cdb031cc
1580276a43
hex5195c880

1368770688 has 48 divisors (see below), whose sum is σ = 3938783550. Its totient is φ = 456256512.

The previous prime is 1368770653. The next prime is 1368770701. The reversal of 1368770688 is 8860778631.

It can be written as a sum of positive squares in only one way, i.e., 1156544064 + 212226624 = 34008^2 + 14568^2 .

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

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 5 ways as a sum of consecutive naturals, for example, 592933 + ... + 595236.

Almost surely, 21368770688 is an apocalyptic number.

1368770688 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1368770688 is an abundant number, since it is smaller than the sum of its proper divisors (2570012862).

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

1368770688 is a wasteful number, since it uses less digits than its factorization.

1368770688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1188189 (or 1188174 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The square root of 1368770688 is about 36996.9010594131. The cubic root of 1368770688 is about 1110.3082465081.

The spelling of 1368770688 in words is "one billion, three hundred sixty-eight million, seven hundred seventy thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 1188169 2376338 3564507 4752676 7129014 9505352 10693521 14258028 19010704 21387042 28516056 38021408 42774084 57032112 76042816 85548168 114064224 152085632 171096336 228128448 342192672 456256896 684385344 1368770688