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114044784 = 24373110949
BaseRepresentation
bin1101100110000…
…10111101110000
321221121002000220
412303002331300
5213143413114
615152213040
72553236040
oct663027560
9257532026
10114044784
1159414597
123223a180
131a820429
1411209720
15a02b0a9
hex6cc2f70

114044784 has 80 divisors (see below), whose sum is σ = 347596800. Its totient is φ = 31530240.

The previous prime is 114044759. The next prime is 114044831. The reversal of 114044784 is 487440411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4942 + ... + 15890.

It is an arithmetic number, because the mean of its divisors is an integer number (4344960).

Almost surely, 2114044784 is an apocalyptic number.

114044784 is a gapful number since it is divisible by the number (14) 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 114044784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173798400).

114044784 is an abundant number, since it is smaller than the sum of its proper divisors (233552016).

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

114044784 is a wasteful number, since it uses less digits than its factorization.

114044784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10998 (or 10992 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The square root of 114044784 is about 10679.1752490536. The cubic root of 114044784 is about 484.9442441308.

The spelling of 114044784 in words is "one hundred fourteen million, forty-four thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 48 56 62 84 93 112 124 168 186 217 248 336 372 434 496 651 744 868 1302 1488 1736 2604 3472 5208 10416 10949 21898 32847 43796 65694 76643 87592 131388 153286 175184 229929 262776 306572 339419 459858 525552 613144 678838 919716 1018257 1226288 1357676 1839432 2036514 2375933 2715352 3678864 4073028 4751866 5430704 7127799 8146056 9503732 14255598 16292112 19007464 28511196 38014928 57022392 114044784