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114450688 = 281197419
BaseRepresentation
bin1101101001001…
…10000100000000
321222100200211101
412310212010000
5213244410223
615205024144
72556546322
oct664460400
9258320741
10114450688
1159671550
12323b5054
131a933101
14112b3612
15a0ab4ad
hex6d26100

114450688 has 72 divisors (see below), whose sum is σ = 252393120. Its totient is φ = 51363840.

The previous prime is 114450683. The next prime is 114450703. The reversal of 114450688 is 886054411.

It is not an unprimeable number, because it can be changed into a prime (114450683) 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, 272943 + ... + 273361.

It is an arithmetic number, because the mean of its divisors is an integer number (3505460).

Almost surely, 2114450688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114450688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126196560).

114450688 is an abundant number, since it is smaller than the sum of its proper divisors (137942432).

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

114450688 is an equidigital number, since it uses as much as digits as its factorization.

114450688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 37.

The square root of 114450688 is about 10698.1628329354. The cubic root of 114450688 is about 485.5188948154.

The spelling of 114450688 in words is "one hundred fourteen million, four hundred fifty thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 97 128 176 194 256 352 388 419 704 776 838 1067 1408 1552 1676 2134 2816 3104 3352 4268 4609 6208 6704 8536 9218 12416 13408 17072 18436 24832 26816 34144 36872 40643 53632 68288 73744 81286 107264 136576 147488 162572 273152 294976 325144 447073 589952 650288 894146 1179904 1300576 1788292 2601152 3576584 5202304 7153168 10404608 14306336 28612672 57225344 114450688