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114054750 = 2335361277
BaseRepresentation
bin1101100110001…
…01011001011110
321221121120201000
412303011121132
5213144223000
615152331130
72553310065
oct663053136
9257546630
10114054750
1159421027
1232243aa6
131a824b24
141120d1dc
15a02e000
hex6cc565e

114054750 has 128 divisors (see below), whose sum is σ = 322657920. Its totient is φ = 29808000.

The previous prime is 114054737. The next prime is 114054779. The reversal of 114054750 is 57450411.

It is a happy number.

114054750 is a `hidden beast` number, since 114 + 0 + 547 + 5 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 411612 + ... + 411888.

It is an arithmetic number, because the mean of its divisors is an integer number (2520765).

Almost surely, 2114054750 is an apocalyptic number.

114054750 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114054750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161328960).

114054750 is an abundant number, since it is smaller than the sum of its proper divisors (208603170).

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

114054750 is a wasteful number, since it uses less digits than its factorization.

114054750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 114054750 is about 10679.6418479273. The cubic root of 114054750 is about 484.9583696155.

The spelling of 114054750 in words is "one hundred fourteen million, fifty-four thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 61 75 90 122 125 135 150 183 225 250 270 277 305 366 375 450 549 554 610 675 750 831 915 1098 1125 1350 1385 1525 1647 1662 1830 2250 2493 2745 2770 3050 3294 3375 4155 4575 4986 5490 6750 6925 7479 7625 8235 8310 9150 12465 13725 13850 14958 15250 16470 16897 20775 22875 24930 27450 33794 34625 37395 41175 41550 45750 50691 62325 68625 69250 74790 82350 84485 101382 103875 124650 137250 152073 168970 186975 205875 207750 253455 304146 311625 373950 411750 422425 456219 506910 623250 760365 844850 912438 934875 1267275 1520730 1869750 2112125 2281095 2534550 3801825 4224250 4562190 6336375 7603650 11405475 12672750 19009125 22810950 38018250 57027375 114054750