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114611712 = 293293183
BaseRepresentation
bin1101101010011…
…01011000000000
321222122212201020
412311031120000
5213320033322
615212305440
72561116635
oct665153000
9258585636
10114611712
1159771526
1232472280
131a98b4a7
141131618c
15a0de05c
hex6d4d600

114611712 has 160 divisors (see below), whose sum is σ = 329978880. Its totient is φ = 35266560.

The previous prime is 114611711. The next prime is 114611713. The reversal of 114611712 is 217116411.

It is an interprime number because it is at equal distance from previous prime (114611711) and next prime (114611713).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114611711) 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, 1380823 + ... + 1380905.

It is an arithmetic number, because the mean of its divisors is an integer number (2062368).

Almost surely, 2114611712 is an apocalyptic number.

114611712 is a gapful number since it is divisible by the number (12) 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 114611712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164989440).

114611712 is an abundant number, since it is smaller than the sum of its proper divisors (215367168).

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

114611712 is an equidigital number, since it uses as much as digits as its factorization.

114611712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 148 counting only the distinct ones).

The product of its digits is 336, while the sum is 24.

The square root of 114611712 is about 10705.6859658781. The cubic root of 114611712 is about 485.7464849967.

The spelling of 114611712 in words is "one hundred fourteen million, six hundred eleven thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 29 31 32 48 58 62 64 83 87 93 96 116 124 128 166 174 186 192 232 248 249 256 332 348 372 384 464 496 498 512 664 696 744 768 899 928 992 996 1328 1392 1488 1536 1798 1856 1984 1992 2407 2573 2656 2697 2784 2976 3596 3712 3968 3984 4814 5146 5312 5394 5568 5952 7192 7221 7424 7719 7936 7968 9628 10292 10624 10788 11136 11904 14384 14442 14848 15438 15872 15936 19256 20584 21248 21576 22272 23808 28768 28884 30876 31872 38512 41168 42496 43152 44544 47616 57536 57768 61752 63744 74617 77024 82336 86304 115072 115536 123504 127488 149234 154048 164672 172608 223851 230144 231072 247008 298468 308096 329344 345216 447702 460288 462144 494016 596936 616192 658688 690432 895404 924288 988032 1193872 1232384 1317376 1380864 1790808 1848576 1976064 2387744 3581616 3697152 3952128 4775488 7163232 9550976 14326464 19101952 28652928 38203904 57305856 114611712