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115163424 = 2533413251
BaseRepresentation
bin1101101110101…
…00000100100000
322000200220112000
412313110010200
5213440212144
615232204000
72565605265
oct667240440
9260626460
10115163424
115a008a92
1232699600
131ab2264c
141141b26c
15a19c769
hex6dd4120

115163424 has 96 divisors (see below), whose sum is σ = 344191680. Its totient is φ = 37440000.

The previous prime is 115163393. The next prime is 115163429. The reversal of 115163424 is 424361511.

It is a happy number.

115163424 is a `hidden beast` number, since 1 + 1 + 5 + 1 + 634 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1151634242 = 26525228454807552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (115163429) 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 15 ways as a sum of consecutive naturals, for example, 33799 + ... + 37049.

It is an arithmetic number, because the mean of its divisors is an integer number (3585330).

Almost surely, 2115163424 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 115163424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172095840).

115163424 is an abundant number, since it is smaller than the sum of its proper divisors (229028256).

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

115163424 is a wasteful number, since it uses less digits than its factorization.

115163424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3311 (or 3297 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 115163424 is about 10731.4222729329. The cubic root of 115163424 is about 486.5246582180.

The spelling of 115163424 in words is "one hundred fifteen million, one hundred sixty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 41 48 54 72 82 96 108 123 144 164 216 246 288 328 369 432 492 656 738 864 984 1107 1312 1476 1968 2214 2952 3251 3936 4428 5904 6502 8856 9753 11808 13004 17712 19506 26008 29259 35424 39012 52016 58518 78024 87777 104032 117036 133291 156048 175554 234072 266582 312096 351108 399873 468144 533164 702216 799746 936288 1066328 1199619 1404432 1599492 2132656 2399238 2808864 3198984 3598857 4265312 4798476 6397968 7197714 9596952 12795936 14395428 19193904 28790856 38387808 57581712 115163424