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115213824 = 2932112273
BaseRepresentation
bin1101101111000…
…00011000000000
322000210110122200
412313200120000
5213443320244
615233233200
72566205235
oct667403000
9260713580
10115213824
115a042940
1232702800
131ab3c57b
141143178c
15a1ac669
hex6de0600

115213824 has 120 divisors (see below), whose sum is σ = 362903112. Its totient is φ = 34897920.

The previous prime is 115213823. The next prime is 115213829. The reversal of 115213824 is 428312511.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115213823) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49552 + ... + 51824.

Almost surely, 2115213824 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 115213824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181451556).

115213824 is an abundant number, since it is smaller than the sum of its proper divisors (247689288).

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

115213824 is a wasteful number, since it uses less digits than its factorization.

115213824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2308 (or 2289 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 115213824 is about 10733.7702602580. The cubic root of 115213824 is about 486.5956219138.

The spelling of 115213824 in words is "one hundred fifteen million, two hundred thirteen thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 256 264 288 352 384 396 512 528 576 704 768 792 1056 1152 1408 1536 1584 2112 2273 2304 2816 3168 4224 4546 4608 5632 6336 6819 8448 9092 12672 13638 16896 18184 20457 25003 25344 27276 36368 40914 50006 50688 54552 72736 75009 81828 100012 109104 145472 150018 163656 200024 218208 225027 290944 300036 327312 400048 436416 450054 581888 600072 654624 800096 872832 900108 1163776 1200144 1309248 1600192 1745664 1800216 2400288 2618496 3200384 3491328 3600432 4800576 5236992 6400768 7200864 9601152 10473984 12801536 14401728 19202304 28803456 38404608 57606912 115213824