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1089756954 = 23211132291123
BaseRepresentation
bin100000011110100…
…0101111100011010
32210221120101111200
41000331011330122
54212434210304
6300045135030
736001531656
oct10075057432
92727511450
101089756954
1150a159590
12264b5a476
13144a05600
14a4a33a66
1565a10e39
hex40f45f1a

1089756954 has 144 divisors (see below), whose sum is σ = 2887915680. Its totient is φ = 294053760.

The previous prime is 1089756953. The next prime is 1089756959. The reversal of 1089756954 is 4596579801.

It is a self number, because there is not a number n which added to its sum of digits gives 1089756954.

It is not an unprimeable number, because it can be changed into a prime (1089756953) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 969837 + ... + 970959.

It is an arithmetic number, because the mean of its divisors is an integer number (20054970).

Almost surely, 21089756954 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1089756954, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1443957840).

1089756954 is an abundant number, since it is smaller than the sum of its proper divisors (1798158726).

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

1089756954 is a wasteful number, since it uses less digits than its factorization.

1089756954 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1197 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The square root of 1089756954 is about 33011.4670076929. The cubic root of 1089756954 is about 1029.0659688488.

The spelling of 1089756954 in words is "one billion, eighty-nine million, seven hundred fifty-six thousand, nine hundred fifty-four".

Divisors: 1 2 3 6 9 11 13 18 22 26 29 33 39 58 66 78 87 99 117 143 169 174 198 234 261 286 319 338 377 429 507 522 638 754 858 957 1014 1123 1131 1287 1521 1859 1914 2246 2262 2574 2871 3042 3369 3393 3718 4147 4901 5577 5742 6738 6786 8294 9802 10107 11154 12353 12441 14599 14703 16731 20214 24706 24882 29198 29406 32567 33462 37059 37323 43797 44109 53911 65134 74118 74646 87594 88218 97701 107822 111177 131391 160589 161733 189787 195402 222354 262782 293103 321178 323466 358237 379574 423371 481767 485199 569361 586206 716474 846742 963534 970398 1074711 1138722 1270113 1445301 1708083 2087657 2149422 2540226 2890602 3224133 3416166 3810339 4175314 4657081 5503823 6262971 6448266 7620678 9314162 11007646 12525942 13971243 16511469 18788913 27942486 33022938 37577826 41913729 49534407 60542053 83827458 99068814 121084106 181626159 363252318 544878477 1089756954