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1382126112 = 25331794099
BaseRepresentation
bin101001001100001…
…1001001000100000
310120022201021121000
41102120121020200
510312311013422
6345051432000
746151610123
oct12230311040
93508637530
101382126112
1164a1a0894
12326a55600
13190461003
14d17bc3ba
1581513cac
hex52619220

1382126112 has 96 divisors (see below), whose sum is σ = 4268376000. Its totient is φ = 433603584.

The previous prime is 1382126071. The next prime is 1382126159. The reversal of 1382126112 is 2116212831.

1382126112 is a `hidden beast` number, since 1 + 38 + 2 + 12 + 611 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32362 + ... + 61737.

It is an arithmetic number, because the mean of its divisors is an integer number (44462250).

Almost surely, 21382126112 is an apocalyptic number.

1382126112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1382126112 is an abundant number, since it is smaller than the sum of its proper divisors (2886249888).

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

1382126112 is a wasteful number, since it uses less digits than its factorization.

1382126112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94135 (or 94121 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 1382126112 is about 37176.9567339770. The cubic root of 1382126112 is about 1113.9077460249.

Adding to 1382126112 its reverse (2116212831), we get a palindrome (3498338943).

The spelling of 1382126112 in words is "one billion, three hundred eighty-two million, one hundred twenty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 68 72 96 102 108 136 144 153 204 216 272 288 306 408 432 459 544 612 816 864 918 1224 1632 1836 2448 3672 4896 7344 14688 94099 188198 282297 376396 564594 752792 846891 1129188 1505584 1599683 1693782 2258376 2540673 3011168 3199366 3387564 4516752 4799049 5081346 6398732 6775128 9033504 9598098 10162692 12797464 13550256 14397147 19196196 20325384 25594928 27100512 28794294 38392392 40650768 43191441 51189856 57588588 76784784 81301536 86382882 115177176 153569568 172765764 230354352 345531528 460708704 691063056 1382126112