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115335132 = 2231141101211
BaseRepresentation
bin1101101111111…
…01111111011100
322001000122001120
412313331333130
5214011211012
615240010540
72600222013
oct667757734
9261018046
10115335132
115a115aa0
1232760a50
131ab82853
1411463a7a
15a1d358c
hex6dfdfdc

115335132 has 96 divisors (see below), whose sum is σ = 305157888. Its totient is φ = 33600000.

The previous prime is 115335131. The next prime is 115335203. The reversal of 115335132 is 231533511.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115335131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 546507 + ... + 546717.

It is an arithmetic number, because the mean of its divisors is an integer number (3178728).

Almost surely, 2115335132 is an apocalyptic number.

115335132 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 115335132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152578944).

115335132 is an abundant number, since it is smaller than the sum of its proper divisors (189822756).

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

115335132 is a wasteful number, since it uses less digits than its factorization.

115335132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 369 counting only the distinct ones).

The product of its digits is 1350, while the sum is 24.

The square root of 115335132 is about 10739.4195373866. The cubic root of 115335132 is about 486.7663399608.

Adding to 115335132 its reverse (231533511), we get a palindrome (346868643).

The spelling of 115335132 in words is "one hundred fifteen million, three hundred thirty-five thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 41 44 66 82 101 123 132 164 202 211 246 303 404 422 451 492 606 633 844 902 1111 1212 1266 1353 1804 2222 2321 2532 2706 3333 4141 4444 4642 5412 6666 6963 8282 8651 9284 12423 13332 13926 16564 17302 21311 24846 25953 27852 34604 42622 45551 49692 51906 63933 85244 91102 95161 103812 127866 136653 182204 190322 234421 255732 273306 285483 380644 468842 546612 570966 703263 873751 937684 1141932 1406526 1747502 2621253 2813052 3495004 5242506 9611261 10485012 19222522 28833783 38445044 57667566 115335132