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115352380 = 225111353761
BaseRepresentation
bin1101110000000…
…10001100111100
322001001111201101
412320002030330
5214012234010
615240222444
72600323213
oct670021474
9261044641
10115352380
115a127a50
123276aa24
131ab8a660
141146a07a
15a1d873a
hex6e0233c

115352380 has 96 divisors (see below), whose sum is σ = 290340288. Its totient is φ = 37939200.

The previous prime is 115352371. The next prime is 115352387. The reversal of 115352380 is 83253511.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115352387) 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, 151200 + ... + 151960.

It is an arithmetic number, because the mean of its divisors is an integer number (3024378).

Almost surely, 2115352380 is an apocalyptic number.

115352380 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 115352380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145170144).

115352380 is an abundant number, since it is smaller than the sum of its proper divisors (174987908).

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

115352380 is a wasteful number, since it uses less digits than its factorization.

115352380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 847 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 115352380 is about 10740.2225302831. Note that the first 3 decimals coincide. The cubic root of 115352380 is about 486.7906035343.

The spelling of 115352380 in words is "one hundred fifteen million, three hundred fifty-two thousand, three hundred eighty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 53 55 65 106 110 130 143 212 220 260 265 286 530 572 583 689 715 761 1060 1166 1378 1430 1522 2332 2756 2860 2915 3044 3445 3805 5830 6890 7579 7610 8371 9893 11660 13780 15158 15220 16742 19786 30316 33484 37895 39572 40333 41855 49465 75790 80666 83710 98930 108823 151580 161332 167420 197860 201665 217646 403330 435292 443663 524329 544115 806660 887326 1048658 1088230 1774652 2097316 2176460 2218315 2621645 4436630 5243290 5767619 8873260 10486580 11535238 23070476 28838095 57676190 115352380