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1089972268 = 227211836091
BaseRepresentation
bin100000011110111…
…1010100000101100
32210221222022212021
41000331322200230
54213013103033
6300053515524
736003416500
oct10075724054
92727868767
101089972268
1150a296330
12265042ba4
13144a7c608
14a4a8c300
1565a54b2d
hex40f7a82c

1089972268 has 72 divisors (see below), whose sum is σ = 2450153664. Its totient is φ = 419479200.

The previous prime is 1089972263. The next prime is 1089972283. The reversal of 1089972268 is 8622799801.

It is not an unprimeable number, because it can be changed into a prime (1089972263) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 175903 + ... + 181993.

It is an arithmetic number, because the mean of its divisors is an integer number (34029912).

Almost surely, 21089972268 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 1089972268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1225076832).

1089972268 is an abundant number, since it is smaller than the sum of its proper divisors (1360181396).

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

1089972268 is a wasteful number, since it uses less digits than its factorization.

1089972268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6203 (or 6194 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 52.

The square root of 1089972268 is about 33014.7280467370. The cubic root of 1089972268 is about 1029.1337386140.

The spelling of 1089972268 in words is "one billion, eighty-nine million, nine hundred seventy-two thousand, two hundred sixty-eight".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 83 98 154 166 196 308 332 539 581 913 1078 1162 1826 2156 2324 3652 4067 6091 6391 8134 12182 12782 16268 24364 25564 42637 44737 67001 85274 89474 134002 170548 178948 268004 298459 469007 505553 596918 938014 1011106 1193836 1876028 2022212 3283049 3538871 5561083 6566098 7077742 11122166 13132196 14155484 22244332 24772097 38927581 49544194 77855162 99088388 155710324 272493067 544986134 1089972268