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1133372152 = 2311231179211
BaseRepresentation
bin100001110001101…
…1110001011111000
32220222122021022101
41003203132023320
54310120402102
6304244033144
740041334663
oct10343361370
92828567271
101133372152
11531839300
122776927b4
13150a66813
14aa7486da
1569778e87
hex438de2f8

1133372152 has 96 divisors (see below), whose sum is σ = 2436134400. Its totient is φ = 493416000.

The previous prime is 1133372111. The next prime is 1133372159. The reversal of 1133372152 is 2512733311.

It is a super-2 number, since 2×11333721522 = 2569064869858222208, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1133372152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1133372159) 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, 5371327 + ... + 5371537.

It is an arithmetic number, because the mean of its divisors is an integer number (25376400).

Almost surely, 21133372152 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 1133372152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1218067200).

1133372152 is an abundant number, since it is smaller than the sum of its proper divisors (1302762248).

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

1133372152 is a wasteful number, since it uses less digits than its factorization.

1133372152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 434 counting only the distinct ones).

The product of its digits is 3780, while the sum is 28.

The square root of 1133372152 is about 33665.5929993814. The cubic root of 1133372152 is about 1042.6155049940.

The spelling of 1133372152 in words is "one billion, one hundred thirty-three million, three hundred seventy-two thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 22 31 44 62 88 121 124 179 211 242 248 341 358 422 484 682 716 844 968 1364 1432 1688 1969 2321 2728 3751 3938 4642 5549 6541 7502 7876 9284 11098 13082 15004 15752 18568 21659 22196 25531 26164 30008 37769 43318 44392 51062 52328 61039 71951 75538 86636 102124 122078 143902 151076 173272 204248 244156 287804 302152 415459 488312 575608 671429 791461 830918 1170839 1342858 1582922 1661836 2341678 2685716 3165844 3323672 4570049 4683356 5371432 6331688 9140098 9366712 12879229 18280196 25758458 36560392 51516916 103033832 141671519 283343038 566686076 1133372152