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1369775040 = 26351937393
BaseRepresentation
bin101000110100101…
…0001101111000000
310112110110210002220
41101221101233000
510301130300130
6343531011040
745641616144
oct12151215700
93473423086
101369775040
11643225297
12322899a80
1318aa2829a
14cdcc5224
15803c4410
hex51a51bc0

1369775040 has 112 divisors (see below), whose sum is σ = 4372160928. Its totient is φ = 363331584.

The previous prime is 1369774981. The next prime is 1369775041. The reversal of 1369775040 is 405779631.

It is a junction number, because it is equal to n+sod(n) for n = 1369774983 and 1369775001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1369775041) 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 15 ways as a sum of consecutive naturals, for example, 181584 + ... + 188976.

Almost surely, 21369775040 is an apocalyptic number.

1369775040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1369775040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2186080464).

1369775040 is an abundant number, since it is smaller than the sum of its proper divisors (3002385888).

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

1369775040 is a wasteful number, since it uses less digits than its factorization.

1369775040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7606 (or 7596 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 42.

The square root of 1369775040 is about 37010.4720315751. The cubic root of 1369775040 is about 1110.5797474687.

The spelling of 1369775040 in words is "one billion, three hundred sixty-nine million, seven hundred seventy-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 193 240 320 386 480 579 772 960 965 1158 1544 1930 2316 2895 3088 3860 4632 5790 6176 7393 7720 9264 11580 12352 14786 15440 18528 22179 23160 29572 30880 36965 37056 44358 46320 59144 61760 73930 88716 92640 110895 118288 147860 177432 185280 221790 236576 295720 354864 443580 473152 591440 709728 887160 1182880 1419456 1426849 1774320 2365760 2853698 3548640 4280547 5707396 7097280 7134245 8561094 11414792 14268490 17122188 21402735 22829584 28536980 34244376 42805470 45659168 57073960 68488752 85610940 91318336 114147920 136977504 171221880 228295840 273955008 342443760 456591680 684887520 1369775040