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1128153906 = 23411267859
BaseRepresentation
bin100001100111110…
…0100001100110010
32220121211011020000
41003033210030302
54302301411111
6303540130430
736646102305
oct10317441462
92817734200
101128153906
115298a4800
12275996a16
1314c95a5b9
14a9b8ab3c
1569097c56
hex433e4332

1128153906 has 120 divisors (see below), whose sum is σ = 2823355920. Its totient is φ = 336370320.

The previous prime is 1128153889. The next prime is 1128153913. The reversal of 1128153906 is 6093518211.

1128153906 is a `hidden beast` number, since 112 + 8 + 1 + 539 + 0 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1312905 + ... + 1313763.

It is an arithmetic number, because the mean of its divisors is an integer number (23527966).

Almost surely, 21128153906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1128153906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1411677960).

1128153906 is an abundant number, since it is smaller than the sum of its proper divisors (1695202014).

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

1128153906 is a wasteful number, since it uses less digits than its factorization.

1128153906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 962 (or 942 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 1128153906 is about 33588.0024115755. The cubic root of 1128153906 is about 1041.0129141568.

The spelling of 1128153906 in words is "one billion, one hundred twenty-eight million, one hundred fifty-three thousand, nine hundred six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 67 81 99 121 134 162 198 201 242 297 363 402 594 603 726 737 859 891 1089 1206 1474 1718 1782 1809 2178 2211 2577 3267 3618 4422 5154 5427 6534 6633 7731 8107 9449 9801 10854 13266 15462 16214 18898 19602 19899 23193 24321 28347 39798 46386 48642 56694 57553 59697 69579 72963 85041 103939 115106 119394 139158 145926 170082 172659 207878 218889 255123 311817 345318 437778 510246 517977 623634 633083 656667 765369 935451 1035954 1266166 1313334 1530738 1553931 1870902 1899249 2806353 3107862 3798498 4661793 5612706 5697747 6963913 8419059 9323586 11395494 13927826 16838118 17093241 20891739 34186482 41783478 51279723 62675217 102559446 125350434 188025651 376051302 564076953 1128153906