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114823008 = 2534311429
BaseRepresentation
bin1101101100000…
…00111101100000
322000001121120000
412312000331200
5213343314013
615221020000
72562656646
oct666007540
9260047500
10114823008
11598a6253
1232554600
131aa33711
141136d196
15a131973
hex6d80f60

114823008 has 120 divisors (see below), whose sum is σ = 348828480. Its totient is φ = 37013760.

The previous prime is 114823003. The next prime is 114823019. The reversal of 114823008 is 800328411.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114823003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 79638 + ... + 81066.

It is an arithmetic number, because the mean of its divisors is an integer number (2906904).

Almost surely, 2114823008 is an apocalyptic number.

114823008 is a gapful number since it is divisible by the number (18) 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 114823008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174414240).

114823008 is an abundant number, since it is smaller than the sum of its proper divisors (234005472).

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

114823008 is a wasteful number, since it uses less digits than its factorization.

114823008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1482 (or 1465 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 114823008 is about 10715.5498225709. The cubic root of 114823008 is about 486.0448061114.

The spelling of 114823008 in words is "one hundred fourteen million, eight hundred twenty-three thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 72 81 93 96 108 124 144 162 186 216 248 279 288 324 372 432 496 558 648 744 837 864 992 1116 1296 1429 1488 1674 2232 2511 2592 2858 2976 3348 4287 4464 5022 5716 6696 8574 8928 10044 11432 12861 13392 17148 20088 22864 25722 26784 34296 38583 40176 44299 45728 51444 68592 77166 80352 88598 102888 115749 132897 137184 154332 177196 205776 231498 265794 308664 354392 398691 411552 462996 531588 617328 708784 797382 925992 1063176 1196073 1234656 1417568 1594764 1851984 2126352 2392146 3189528 3588219 3703968 4252704 4784292 6379056 7176438 9568584 12758112 14352876 19137168 28705752 38274336 57411504 114823008