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1238112768 = 2937111353
BaseRepresentation
bin100100111001100…
…0001101000000000
310012021201122102110
41021303001220000
510013424102033
6322505015320
742452533134
oct11163015000
93167648373
101238112768
115859784a2
122a6784540
1316967a009
14ba6113c4
1573a68363
hex49cc1a00

1238112768 has 80 divisors (see below), whose sum is σ = 3345160896. Its totient is φ = 406855680.

The previous prime is 1238112767. The next prime is 1238112769. The reversal of 1238112768 is 8672118321.

It is an interprime number because it is at equal distance from previous prime (1238112767) and next prime (1238112769).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1238112767) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 103380 + ... + 114732.

Almost surely, 21238112768 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 1238112768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1672580448).

1238112768 is an abundant number, since it is smaller than the sum of its proper divisors (2107048128).

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

1238112768 is an equidigital number, since it uses as much as digits as its factorization.

1238112768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11445 (or 11429 counting only the distinct ones).

The product of its digits is 32256, while the sum is 39.

The square root of 1238112768 is about 35186.8266258837. The cubic root of 1238112768 is about 1073.7917611035.

The spelling of 1238112768 in words is "one billion, two hundred thirty-eight million, one hundred twelve thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 71 96 128 142 192 213 256 284 384 426 512 568 768 852 1136 1536 1704 2272 3408 4544 6816 9088 11353 13632 18176 22706 27264 34059 36352 45412 54528 68118 90824 109056 136236 181648 272472 363296 544944 726592 806063 1089888 1453184 1612126 2179776 2418189 2906368 3224252 4359552 4836378 5812736 6448504 8719104 9672756 12897008 17438208 19345512 25794016 38691024 51588032 77382048 103176064 154764096 206352128 309528192 412704256 619056384 1238112768