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115352420 = 225191072837
BaseRepresentation
bin1101110000000…
…10001101100100
322001001111202212
412320002031210
5214012234140
615240222552
72600323301
oct670021544
9261044685
10115352420
115a127a87
123276aa58
131ab8a691
141146a0a8
15a1d8765
hex6e02364

115352420 has 48 divisors (see below), whose sum is σ = 257463360. Its totient is φ = 43288704.

The previous prime is 115352399. The next prime is 115352431. The reversal of 115352420 is 24253511.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39242 + ... + 42078.

It is an arithmetic number, because the mean of its divisors is an integer number (5363820).

Almost surely, 2115352420 is an apocalyptic number.

115352420 is a gapful number since it is divisible by the number (10) 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 115352420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128731680).

115352420 is an abundant number, since it is smaller than the sum of its proper divisors (142110940).

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

115352420 is a wasteful number, since it uses less digits than its factorization.

115352420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2972 (or 2970 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 115352420 is about 10740.2243924417. The cubic root of 115352420 is about 486.7906598014.

The spelling of 115352420 in words is "one hundred fifteen million, three hundred fifty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 107 190 214 380 428 535 1070 2033 2140 2837 4066 5674 8132 10165 11348 14185 20330 28370 40660 53903 56740 107806 215612 269515 303559 539030 607118 1078060 1214236 1517795 3035590 5767621 6071180 11535242 23070484 28838105 57676210 115352420