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1114793680 = 2457111313921
BaseRepresentation
bin100001001110010…
…0110011011010000
32212200200101102211
41002130212123100
54240341344210
6302341521504
736424406230
oct10234463320
92780611384
101114793680
115222a9aa0
12271413294
13149c60440
14a80adcc0
1567d0938a
hex427266d0

1114793680 has 160 divisors (see below), whose sum is σ = 3480277248. Its totient is φ = 320716800.

The previous prime is 1114793677. The next prime is 1114793699. The reversal of 1114793680 is 863974111.

1114793680 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 73120 + ... + 87040.

Almost surely, 21114793680 is an apocalyptic number.

1114793680 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 1114793680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1740138624).

1114793680 is an abundant number, since it is smaller than the sum of its proper divisors (2365483568).

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

1114793680 is a wasteful number, since it uses less digits than its factorization.

1114793680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13965 (or 13959 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 40.

The square root of 1114793680 is about 33388.5261729235. The cubic root of 1114793680 is about 1036.8871666049.

The spelling of 1114793680 in words is "one billion, one hundred fourteen million, seven hundred ninety-three thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 11 13 14 16 20 22 26 28 35 40 44 52 55 56 65 70 77 80 88 91 104 110 112 130 140 143 154 176 182 208 220 260 280 286 308 364 385 440 455 520 560 572 616 715 728 770 880 910 1001 1040 1144 1232 1430 1456 1540 1820 2002 2288 2860 3080 3640 4004 5005 5720 6160 7280 8008 10010 11440 13921 16016 20020 27842 40040 55684 69605 80080 97447 111368 139210 153131 180973 194894 222736 278420 306262 361946 389788 487235 556840 612524 723892 765655 779576 904865 974470 1071917 1113680 1225048 1266811 1447784 1531310 1559152 1809730 1948940 1990703 2143834 2450096 2533622 2895568 3062620 3619460 3897880 3981406 4287668 5067244 5359585 6125240 6334055 7238920 7795760 7962812 8575336 9953515 10134488 10719170 12250480 12668110 13934921 14477840 15925624 17150672 19907030 20268976 21438340 25336220 27869842 31851248 39814060 42876680 50672440 55739684 69674605 79628120 85753360 101344880 111479368 139349210 159256240 222958736 278698420 557396840 1114793680