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1114064784 = 243272157889
BaseRepresentation
bin100001001100111…
…0100011110010000
32212122022100120200
41002121310132100
54240200033114
6302314135200
736415252200
oct10231643620
92778270520
101114064784
115219513a8
12271121500
13149a66741
14a7d60400
1567c13409
hex42674790

1114064784 has 90 divisors (see below), whose sum is σ = 3626891190. Its totient is φ = 318302208.

The previous prime is 1114064729. The next prime is 1114064821. The reversal of 1114064784 is 4874604111.

1114064784 is a `hidden beast` number, since 1 + 1 + 1 + 4 + 0 + 647 + 8 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1084253184 + 29811600 = 32928^2 + 5460^2 .

It is a super-2 number, since 2×11140647842 = 2482280685897933312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 71889 + ... + 86000.

It is an arithmetic number, because the mean of its divisors is an integer number (40298791).

Almost surely, 21114064784 is an apocalyptic number.

1114064784 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1114064784 is an abundant number, since it is smaller than the sum of its proper divisors (2512826406).

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

1114064784 is a wasteful number, since it uses less digits than its factorization.

1114064784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157917 (or 157901 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 1114064784 is about 33377.6090216181. The cubic root of 1114064784 is about 1036.6611314494.

Adding to 1114064784 its reverse (4874604111), we get a palindrome (5988668895).

The spelling of 1114064784 in words is "one billion, one hundred fourteen million, sixty-four thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 392 441 504 588 784 882 1008 1176 1764 2352 3528 7056 157889 315778 473667 631556 947334 1105223 1263112 1421001 1894668 2210446 2526224 2842002 3315669 3789336 4420892 5684004 6631338 7578672 7736561 8841784 9947007 11368008 13262676 15473122 17683568 19894014 22736016 23209683 26525352 30946244 39788028 46419366 53050704 61892488 69629049 79576056 92838732 123784976 139258098 159152112 185677464 278516196 371354928 557032392 1114064784