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114995712 = 293132443
BaseRepresentation
bin1101101101010…
…11001000000000
322000101101110110
412312223020000
5213414330322
615224431320
72564306316
oct666531000
9260341413
10114995712
1159a03a87
1232618540
131aa94200
14113b60b6
15a167c0c
hex6dab200

114995712 has 120 divisors (see below), whose sum is σ = 332483184. Its totient is φ = 35303424.

The previous prime is 114995687. The next prime is 114995723. The reversal of 114995712 is 217599411.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nialpdrome in base 8.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 259363 + ... + 259805.

Almost surely, 2114995712 is an apocalyptic number.

114995712 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 114995712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166241592).

114995712 is an abundant number, since it is smaller than the sum of its proper divisors (217487472).

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

114995712 is an equidigital number, since it uses as much as digits as its factorization.

114995712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 461 counting only the distinct ones).

The product of its digits is 22680, while the sum is 39.

The square root of 114995712 is about 10723.6053638690. The cubic root of 114995712 is about 486.2883688881.

The spelling of 114995712 in words is "one hundred fourteen million, nine hundred ninety-five thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 169 192 208 256 312 338 384 416 443 507 512 624 676 768 832 886 1014 1248 1329 1352 1536 1664 1772 2028 2496 2658 2704 3328 3544 4056 4992 5316 5408 5759 6656 7088 8112 9984 10632 10816 11518 14176 16224 17277 19968 21264 21632 23036 28352 32448 34554 42528 43264 46072 56704 64896 69108 74867 85056 86528 92144 113408 129792 138216 149734 170112 184288 224601 226816 259584 276432 299468 340224 368576 449202 552864 598936 680448 737152 898404 1105728 1197872 1474304 1796808 2211456 2395744 2948608 3593616 4422912 4791488 7187232 8845824 9582976 14374464 19165952 28748928 38331904 57497856 114995712