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114454512 = 2433307863
BaseRepresentation
bin1101101001001…
…10111111110000
321222100220002000
412310212333300
5213300021022
615205054000
72556563424
oct664467760
9258326060
10114454512
1159674407
12323b7300
131a934a83
14112b4b84
15a0ac6ac
hex6d26ff0

114454512 has 80 divisors (see below), whose sum is σ = 329978880. Its totient is φ = 37983168.

The previous prime is 114454477. The next prime is 114454517. The reversal of 114454512 is 215454411.

114454512 is a `hidden beast` number, since 1 + 144 + 5 + 4 + 512 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114454517) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132193 + ... + 133055.

It is an arithmetic number, because the mean of its divisors is an integer number (4124736).

Almost surely, 2114454512 is an apocalyptic number.

114454512 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 114454512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164989440).

114454512 is an abundant number, since it is smaller than the sum of its proper divisors (215524368).

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

114454512 is a wasteful number, since it uses less digits than its factorization.

114454512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1187 (or 1175 counting only the distinct ones).

The product of its digits is 3200, while the sum is 27.

The square root of 114454512 is about 10698.3415537176. The cubic root of 114454512 is about 485.5243021037.

The spelling of 114454512 in words is "one hundred fourteen million, four hundred fifty-four thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 307 432 614 863 921 1228 1726 1842 2456 2589 2763 3452 3684 4912 5178 5526 6904 7368 7767 8289 10356 11052 13808 14736 15534 16578 20712 22104 23301 31068 33156 41424 44208 46602 62136 66312 93204 124272 132624 186408 264941 372816 529882 794823 1059764 1589646 2119528 2384469 3179292 4239056 4768938 6358584 7153407 9537876 12717168 14306814 19075752 28613628 38151504 57227256 114454512