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1090912256 = 21772941
BaseRepresentation
bin100000100000110…
…0000000000000000
32211000202002021122
41001001200000000
54213233143011
6300130011412
736014413130
oct10101400000
92730662248
101090912256
1150a878585
12265416b68
1314501b415
14a4c54ac0
1565b8d3db
hex41060000

1090912256 has 144 divisors (see below), whose sum is σ = 2642401440. Its totient is φ = 440401920.

The previous prime is 1090912247. The next prime is 1090912307. The reversal of 1090912256 is 6522190901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26607596 + ... + 26607636.

It is an arithmetic number, because the mean of its divisors is an integer number (18350010).

Almost surely, 21090912256 is an apocalyptic number.

1090912256 is a gapful number since it is divisible by the number (16) 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 1090912256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1321200720).

1090912256 is an abundant number, since it is smaller than the sum of its proper divisors (1551489184).

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

1090912256 is an frugal number, since it uses more digits than its factorization.

1090912256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 35.

The square root of 1090912256 is about 33028.9608676991. The cubic root of 1090912256 is about 1029.4294939710.

The spelling of 1090912256 in words is "one billion, ninety million, nine hundred twelve thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 29 32 41 56 58 64 82 112 116 128 164 203 224 232 256 287 328 406 448 464 512 574 656 812 896 928 1024 1148 1189 1312 1624 1792 1856 2048 2296 2378 2624 3248 3584 3712 4096 4592 4756 5248 6496 7168 7424 8192 8323 9184 9512 10496 12992 14336 14848 16384 16646 18368 19024 20992 25984 28672 29696 32768 33292 36736 38048 41984 51968 57344 59392 65536 66584 73472 76096 83968 103936 114688 118784 131072 133168 146944 152192 167936 207872 229376 237568 266336 293888 304384 335872 415744 458752 475136 532672 587776 608768 671744 831488 917504 950272 1065344 1175552 1217536 1343488 1662976 1900544 2130688 2351104 2435072 2686976 3325952 3801088 4261376 4702208 4870144 5373952 6651904 8522752 9404416 9740288 13303808 17045504 18808832 19480576 26607616 34091008 37617664 38961152 68182016 77922304 136364032 155844608 272728064 545456128 1090912256