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114053472 = 25321341743
BaseRepresentation
bin1101100110001…
…01000101100000
321221121111221200
412303011011200
5213144202342
615152321200
72553303261
oct663050540
9257544850
10114053472
1159420075
1232243200
131a824380
141120c968
15a02d94c
hex6cc5160

114053472 has 144 divisors (see below), whose sum is σ = 358289568. Its totient is φ = 34191360.

The previous prime is 114053453. The next prime is 114053503. The reversal of 114053472 is 274350411.

114053472 is a `hidden beast` number, since 1 + 140 + 53 + 472 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 153133 + ... + 153875.

It is an arithmetic number, because the mean of its divisors is an integer number (2488122).

Almost surely, 2114053472 is an apocalyptic number.

114053472 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 114053472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179144784).

114053472 is an abundant number, since it is smaller than the sum of its proper divisors (244236096).

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

114053472 is a wasteful number, since it uses less digits than its factorization.

114053472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 114053472 is about 10679.5820142925. The cubic root of 114053472 is about 484.9565582658.

The spelling of 114053472 in words is "one hundred fourteen million, fifty-three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 41 48 52 72 78 82 96 104 117 123 144 156 164 208 234 246 288 312 328 369 416 468 492 533 624 656 738 743 936 984 1066 1248 1312 1476 1486 1599 1872 1968 2132 2229 2952 2972 3198 3744 3936 4264 4458 4797 5904 5944 6396 6687 8528 8916 9594 9659 11808 11888 12792 13374 17056 17832 19188 19318 23776 25584 26748 28977 30463 35664 38376 38636 51168 53496 57954 60926 71328 76752 77272 86931 91389 106992 115908 121852 153504 154544 173862 182778 213984 231816 243704 274167 309088 347724 365556 396019 463632 487408 548334 695448 731112 792038 927264 974816 1096668 1188057 1390896 1462224 1584076 2193336 2376114 2781792 2924448 3168152 3564171 4386672 4752228 6336304 7128342 8773344 9504456 12672608 14256684 19008912 28513368 38017824 57026736 114053472