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114035712 = 210375303
BaseRepresentation
bin1101100110000…
…00110000000000
321221120121120220
412303000300000
5213143120322
615152103040
72553200430
oct663006000
9257517526
10114035712
115940879a
1232234a80
131a81926b
14112062c0
15a02855c
hex6cc0c00

114035712 has 88 divisors (see below), whose sum is σ = 347433216. Its totient is φ = 32575488.

The previous prime is 114035707. The next prime is 114035717. The reversal of 114035712 is 217530411.

It is an interprime number because it is at equal distance from previous prime (114035707) and next prime (114035717).

It is a super-2 number, since 2×1140357122 = 26008287222693888, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (114035717) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18853 + ... + 24155.

Almost surely, 2114035712 is an apocalyptic number.

114035712 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 114035712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173716608).

114035712 is an abundant number, since it is smaller than the sum of its proper divisors (233397504).

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

114035712 is an equidigital number, since it uses as much as digits as its factorization.

114035712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5333 (or 5315 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 114035712 is about 10678.7504887042. The cubic root of 114035712 is about 484.9313850571.

The spelling of 114035712 in words is "one hundred fourteen million, thirty-five thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1344 1536 1792 2688 3072 3584 5303 5376 7168 10606 10752 15909 21212 21504 31818 37121 42424 63636 74242 84848 111363 127272 148484 169696 222726 254544 296968 339392 445452 509088 593936 678784 890904 1018176 1187872 1357568 1781808 2036352 2375744 2715136 3563616 4072704 4751488 5430272 7127232 8145408 9502976 14254464 16290816 19005952 28508928 38011904 57017856 114035712