Search a number
-
+
115303552 = 2771319521
BaseRepresentation
bin1101101111101…
…10010010000000
322000222000201221
412313312102000
5214004203202
615235204424
72600030650
oct667662200
9260860657
10115303552
115a0a42a1
1232746714
131ab71370
1411456360
15a1c9037
hex6df6480

115303552 has 128 divisors (see below), whose sum is σ = 298166400. Its totient is φ = 43130880.

The previous prime is 115303547. The next prime is 115303631. The reversal of 115303552 is 255303511.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 221052 + ... + 221572.

It is an arithmetic number, because the mean of its divisors is an integer number (2329425).

Almost surely, 2115303552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115303552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149083200).

115303552 is an abundant number, since it is smaller than the sum of its proper divisors (182862848).

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

115303552 is a wasteful number, since it uses less digits than its factorization.

115303552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 25.

The square root of 115303552 is about 10737.9491524220. The cubic root of 115303552 is about 486.7219086184.

The spelling of 115303552 in words is "one hundred fifteen million, three hundred three thousand, five hundred fifty-two".

Divisors: 1 2 4 7 8 13 14 16 19 26 28 32 38 52 56 64 76 91 104 112 128 133 152 182 208 224 247 266 304 364 416 448 494 521 532 608 728 832 896 988 1042 1064 1216 1456 1664 1729 1976 2084 2128 2432 2912 3458 3647 3952 4168 4256 5824 6773 6916 7294 7904 8336 8512 9899 11648 13546 13832 14588 15808 16672 17024 19798 27092 27664 29176 31616 33344 39596 47411 54184 55328 58352 66688 69293 79192 94822 108368 110656 116704 128687 138586 158384 189644 216736 221312 233408 257374 277172 316768 379288 433472 466816 514748 554344 633536 758576 866944 900809 1029496 1108688 1267072 1517152 1801618 2058992 2217376 3034304 3603236 4117984 4434752 6068608 7206472 8235968 8869504 14412944 16471936 28825888 57651776 115303552