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1090746048 = 26377910273
BaseRepresentation
bin100000100000011…
…0111011011000000
32211000102122021210
41001000313123000
54213212333143
6300122250120
736013121430
oct10100673300
92730378253
101090746048
1150a774717
12265356940
13144c90882
14a4c102c0
1565b59033
hex410376c0

1090746048 has 112 divisors (see below), whose sum is σ = 3340282880. Its totient is φ = 307666944.

The previous prime is 1090746047. The next prime is 1090746079. The reversal of 1090746048 is 8406470901.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 1090745997 and 1090746015.

It is not an unprimeable number, because it can be changed into a prime (1090746047) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 101040 + ... + 111312.

Almost surely, 21090746048 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 1090746048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1670141440).

1090746048 is an abundant number, since it is smaller than the sum of its proper divisors (2249536832).

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

1090746048 is a wasteful number, since it uses less digits than its factorization.

1090746048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10374 (or 10364 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 1090746048 is about 33026.4446769555. Note that the first 3 decimals coincide. The cubic root of 1090746048 is about 1029.3772110898.

The spelling of 1090746048 in words is "one billion, ninety million, seven hundred forty-six thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 79 84 96 112 158 168 192 224 237 316 336 448 474 553 632 672 948 1106 1264 1344 1659 1896 2212 2528 3318 3792 4424 5056 6636 7584 8848 10273 13272 15168 17696 20546 26544 30819 35392 41092 53088 61638 71911 82184 106176 123276 143822 164368 215733 246552 287644 328736 431466 493104 575288 657472 811567 862932 986208 1150576 1623134 1725864 1972416 2301152 2434701 3246268 3451728 4602304 4869402 5680969 6492536 6903456 9738804 11361938 12985072 13806912 17042907 19477608 22723876 25970144 34085814 38955216 45447752 51940288 68171628 77910432 90895504 136343256 155820864 181791008 272686512 363582016 545373024 1090746048