Search a number
-
+
10996992 = 28333743
BaseRepresentation
bin101001111100…
…110100000000
3202200201001000
4221330310000
510303400432
61031412000
7162321126
oct51746400
922621030
1010996992
116231226
123824000
1323805c6
141663916
15e7357c
hexa7cd00

10996992 has 144 divisors (see below), whose sum is σ = 34175680. Its totient is φ = 3483648.

The previous prime is 10996969. The next prime is 10997039. The reversal of 10996992 is 29969901.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 255723 + ... + 255765.

Almost surely, 210996992 is an apocalyptic number.

10996992 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 10996992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17087840).

10996992 is an abundant number, since it is smaller than the sum of its proper divisors (23178688).

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

10996992 is an equidigital number, since it uses as much as digits as its factorization.

10996992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 78732, while the sum is 45.

The square root of 10996992 is about 3316.1712862878. The cubic root of 10996992 is about 222.3777352933.

The spelling of 10996992 in words is "ten million, nine hundred ninety-six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 43 48 54 64 72 74 86 96 108 111 128 129 144 148 172 192 216 222 256 258 288 296 333 344 384 387 432 444 516 576 592 666 688 768 774 864 888 999 1032 1152 1161 1184 1332 1376 1548 1591 1728 1776 1998 2064 2304 2322 2368 2664 2752 3096 3182 3456 3552 3996 4128 4644 4736 4773 5328 5504 6192 6364 6912 7104 7992 8256 9288 9472 9546 10656 11008 12384 12728 14208 14319 15984 16512 18576 19092 21312 24768 25456 28416 28638 31968 33024 37152 38184 42624 42957 49536 50912 57276 63936 74304 76368 85248 85914 99072 101824 114552 127872 148608 152736 171828 203648 229104 255744 297216 305472 343656 407296 458208 610944 687312 916416 1221888 1374624 1832832 2749248 3665664 5498496 10996992