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114741720 = 233251392293
BaseRepresentation
bin1101101011011…
…01000111011000
321222220111001100
412311231013120
5213333213340
615215151400
72562200652
oct665550730
9258814040
10114741720
1159850175
1232515560
131aa05712
141134b6d2
15a117830
hex6d6d1d8

114741720 has 96 divisors (see below), whose sum is σ = 375757200. Its totient is φ = 30364416.

The previous prime is 114741713. The next prime is 114741727. The reversal of 114741720 is 27147411.

It is an interprime number because it is at equal distance from previous prime (114741713) and next prime (114741727).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114741727) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48894 + ... + 51186.

Almost surely, 2114741720 is an apocalyptic number.

114741720 is a gapful number since it is divisible by the number (10) 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 114741720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187878600).

114741720 is an abundant number, since it is smaller than the sum of its proper divisors (261015480).

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

114741720 is a wasteful number, since it uses less digits than its factorization.

114741720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2449 (or 2442 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 114741720 is about 10711.7561585391. The cubic root of 114741720 is about 485.9300818993.

The spelling of 114741720 in words is "one hundred fourteen million, seven hundred forty-one thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 139 180 278 360 417 556 695 834 1112 1251 1390 1668 2085 2293 2502 2780 3336 4170 4586 5004 5560 6255 6879 8340 9172 10008 11465 12510 13758 16680 18344 20637 22930 25020 27516 34395 41274 45860 50040 55032 68790 82548 91720 103185 137580 165096 206370 275160 318727 412740 637454 825480 956181 1274908 1593635 1912362 2549816 2868543 3187270 3824724 4780905 5737086 6374540 7649448 9561810 11474172 12749080 14342715 19123620 22948344 28685430 38247240 57370860 114741720