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1097932992 = 263131074111
BaseRepresentation
bin100000101110001…
…0010000011000000
32211111221202220220
41001130102003000
54222032323432
6300540303040
736131163552
oct10134220300
92744852826
101097932992
11513833342
12267841a80
13146608bc0
14a5b614d2
15665c872c
hex417120c0

1097932992 has 112 divisors (see below), whose sum is σ = 3158410752. Its totient is φ = 334586880.

The previous prime is 1097932967. The next prime is 1097932999. The reversal of 1097932992 is 2992397901.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1097932999) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 265017 + ... + 269127.

It is an arithmetic number, because the mean of its divisors is an integer number (28200096).

Almost surely, 21097932992 is an apocalyptic number.

1097932992 is a gapful number since it is divisible by the number (12) 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 1097932992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1579205376).

1097932992 is an abundant number, since it is smaller than the sum of its proper divisors (2060477760).

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

1097932992 is a wasteful number, since it uses less digits than its factorization.

1097932992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4246 (or 4236 counting only the distinct ones).

The product of its (nonzero) digits is 551124, while the sum is 51.

The square root of 1097932992 is about 33135.0719329233. The cubic root of 1097932992 is about 1031.6331248046.

The spelling of 1097932992 in words is "one billion, ninety-seven million, nine hundred thirty-two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 107 156 192 208 214 312 321 416 428 624 642 832 856 1248 1284 1391 1712 2496 2568 2782 3424 4111 4173 5136 5564 6848 8222 8346 10272 11128 12333 16444 16692 20544 22256 24666 32888 33384 44512 49332 53443 65776 66768 89024 98664 106886 131552 133536 160329 197328 213772 263104 267072 320658 394656 427544 439877 641316 789312 855088 879754 1282632 1319631 1710176 1759508 2565264 2639262 3420352 3519016 5130528 5278524 5718401 7038032 10261056 10557048 11436802 14076064 17155203 21114096 22873604 28152128 34310406 42228192 45747208 68620812 84456384 91494416 137241624 182988832 274483248 365977664 548966496 1097932992