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115484424 = 2331131103137
BaseRepresentation
bin1101110001000…
…10011100001000
322001022012211220
412320202130020
5214031000144
615243122040
72601413166
oct670423410
9261265756
10115484424
115a208180
1232813320
131ac057a3
14114a2236
15a212919
hex6e22708

115484424 has 128 divisors (see below), whose sum is σ = 330670080. Its totient is φ = 33292800.

The previous prime is 115484423. The next prime is 115484429. The reversal of 115484424 is 424484511.

It is a super-2 number, since 2×1154844242 = 26673304373223552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (115484423) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 842884 + ... + 843020.

It is an arithmetic number, because the mean of its divisors is an integer number (2583360).

Almost surely, 2115484424 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 115484424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165335040).

115484424 is an abundant number, since it is smaller than the sum of its proper divisors (215185656).

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

115484424 is a wasteful number, since it uses less digits than its factorization.

115484424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 287 counting only the distinct ones).

The product of its digits is 20480, while the sum is 33.

The square root of 115484424 is about 10746.3679445662. The cubic root of 115484424 is about 486.9762759575.

The spelling of 115484424 in words is "one hundred fifteen million, four hundred eighty-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 31 33 44 62 66 88 93 103 124 132 137 186 206 248 264 274 309 341 372 411 412 548 618 682 744 822 824 1023 1096 1133 1236 1364 1507 1644 2046 2266 2472 2728 3014 3193 3288 3399 4092 4247 4521 4532 6028 6386 6798 8184 8494 9042 9064 9579 12056 12741 12772 13596 14111 16988 18084 19158 25482 25544 27192 28222 33976 35123 36168 38316 42333 46717 50964 56444 70246 76632 84666 93434 101928 105369 112888 140151 140492 155221 169332 186868 210738 280302 280984 310442 338664 373736 421476 437441 465663 560604 620884 842952 874882 931326 1121208 1241768 1312323 1749764 1862652 2624646 3499528 3725304 4811851 5249292 9623702 10498584 14435553 19247404 28871106 38494808 57742212 115484424