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114604644 = 223711314001
BaseRepresentation
bin1101101010010…
…11101001100100
321222122112000110
412311023221210
5213314322034
615212213020
72561060220
oct665135144
9258575013
10114604644
1159767190
123246a170
131a9881cb
1411313780
15a0dbde9
hex6d4ba64

114604644 has 96 divisors (see below), whose sum is σ = 344236032. Its totient is φ = 28800000.

The previous prime is 114604643. The next prime is 114604649. The reversal of 114604644 is 446406411.

It is not an unprimeable number, because it can be changed into a prime (114604643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26644 + ... + 30644.

It is an arithmetic number, because the mean of its divisors is an integer number (3585792).

Almost surely, 2114604644 is an apocalyptic number.

114604644 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 114604644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172118016).

114604644 is an abundant number, since it is smaller than the sum of its proper divisors (229631388).

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

114604644 is a wasteful number, since it uses less digits than its factorization.

114604644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4057 (or 4055 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 114604644 is about 10705.3558558322. The cubic root of 114604644 is about 485.7364996102.

The spelling of 114604644 in words is "one hundred fourteen million, six hundred four thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 31 33 42 44 62 66 77 84 93 124 132 154 186 217 231 308 341 372 434 462 651 682 868 924 1023 1302 1364 2046 2387 2604 4001 4092 4774 7161 8002 9548 12003 14322 16004 24006 28007 28644 44011 48012 56014 84021 88022 112028 124031 132033 168042 176044 248062 264066 308077 336084 372093 496124 528132 616154 744186 868217 924231 1232308 1364341 1488372 1736434 1848462 2604651 2728682 3472868 3696924 4093023 5209302 5457364 8186046 9550387 10418604 16372092 19100774 28651161 38201548 57302322 114604644