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115413312 = 2637791087
BaseRepresentation
bin1101110000100…
…01000101000000
322001011121022010
412320101011000
5214021211222
615241412520
72600665650
oct670210500
9261147263
10115413312
115a169803
123279a140
131abac301
1411484360
15a1eb80c
hex6e11140

115413312 has 112 divisors (see below), whose sum is σ = 353730560. Its totient is φ = 32527872.

The previous prime is 115413307. The next prime is 115413313. The reversal of 115413312 is 213314511.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115413313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105633 + ... + 106719.

Almost surely, 2115413312 is an apocalyptic number.

115413312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115413312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176865280).

115413312 is an abundant number, since it is smaller than the sum of its proper divisors (238317248).

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

115413312 is a wasteful number, since it uses less digits than its factorization.

115413312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1188 (or 1178 counting only the distinct ones).

The product of its digits is 360, while the sum is 21.

The square root of 115413312 is about 10743.0587823022. The cubic root of 115413312 is about 486.8763000872.

Adding to 115413312 its reverse (213314511), we get a palindrome (328727823).

The spelling of 115413312 in words is "one hundred fifteen million, four hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 79 84 96 112 158 168 192 224 237 316 336 448 474 553 632 672 948 1087 1106 1264 1344 1659 1896 2174 2212 2528 3261 3318 3792 4348 4424 5056 6522 6636 7584 7609 8696 8848 13044 13272 15168 15218 17392 17696 22827 26088 26544 30436 34784 35392 45654 52176 53088 60872 69568 85873 91308 104352 106176 121744 171746 182616 208704 243488 257619 343492 365232 486976 515238 601111 686984 730464 1030476 1202222 1373968 1460928 1803333 2060952 2404444 2747936 3606666 4121904 4808888 5495872 7213332 8243808 9617776 14426664 16487616 19235552 28853328 38471104 57706656 115413312