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113781024 = 253476271
BaseRepresentation
bin1101100100000…
…10100100100000
321221002200020000
412302002210200
5213111443044
615142420000
72551060050
oct662024440
9257080200
10113781024
1159254405
1232131600
131a75a366
141117b560
159ec7d69
hex6c82920

113781024 has 120 divisors (see below), whose sum is σ = 382491648. Its totient is φ = 32503680.

The previous prime is 113781011. The next prime is 113781037. The reversal of 113781024 is 420187311.

It is an interprime number because it is at equal distance from previous prime (113781011) and next prime (113781037).

It is a super-2 number, since 2×1137810242 = 25892242844977152, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 15009 + ... + 21279.

Almost surely, 2113781024 is an apocalyptic number.

113781024 is a gapful number since it is divisible by the number (14) 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 113781024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191245824).

113781024 is an abundant number, since it is smaller than the sum of its proper divisors (268710624).

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

113781024 is an equidigital number, since it uses as much as digits as its factorization.

113781024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6300 (or 6283 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 113781024 is about 10666.8188322480. The cubic root of 113781024 is about 484.5700997978.

The spelling of 113781024 in words is "one hundred thirteen million, seven hundred eighty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 81 84 96 108 112 126 144 162 168 189 216 224 252 288 324 336 378 432 504 567 648 672 756 864 1008 1134 1296 1512 2016 2268 2592 3024 4536 6048 6271 9072 12542 18144 18813 25084 37626 43897 50168 56439 75252 87794 100336 112878 131691 150504 169317 175588 200672 225756 263382 301008 338634 351176 395073 451512 507951 526764 602016 677268 702352 790146 903024 1015902 1053528 1185219 1354536 1404704 1580292 1806048 2031804 2107056 2370438 2709072 3160584 3555657 4063608 4214112 4740876 5418144 6321168 7111314 8127216 9481752 12642336 14222628 16254432 18963504 28445256 37927008 56890512 113781024