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1000763064 = 233272419677
BaseRepresentation
bin111011101001100…
…110111010111000
32120202010000211200
4323221212322320
54022143404224
6243145454200
733541226400
oct7351467270
92522100750
101000763064
114739a5114
1223b1a1360
1312c4465c2
1496ca9800
155ccd25c9
hex3ba66eb8

1000763064 has 144 divisors (see below), whose sum is σ = 3165107400. Its totient is φ = 284828544.

The previous prime is 1000763063. The next prime is 1000763069. The reversal of 1000763064 is 4603670001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000763063) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1477894 + ... + 1478570.

Almost surely, 21000763064 is an apocalyptic number.

1000763064 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 1000763064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1582553700).

1000763064 is an abundant number, since it is smaller than the sum of its proper divisors (2164344336).

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

1000763064 is a wasteful number, since it uses less digits than its factorization.

1000763064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1122 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 1000763064 is about 31634.8394021528. The cubic root of 1000763064 is about 1000.2542899978.

The spelling of 1000763064 in words is "one billion, seven hundred sixty-three thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 419 441 504 588 677 838 882 1176 1257 1354 1676 1764 2031 2514 2708 2933 3352 3528 3771 4062 4739 5028 5416 5866 6093 7542 8124 8799 9478 10056 11732 12186 14217 15084 16248 17598 18956 20531 23464 24372 26397 28434 30168 33173 35196 37912 41062 42651 48744 52794 56868 61593 66346 70392 82124 85302 99519 105588 113736 123186 132692 164248 170604 184779 199038 211176 246372 265384 283663 298557 341208 369558 398076 492744 567326 597114 739116 796152 850989 1134652 1194228 1478232 1701978 1985641 2269304 2388456 2552967 3403956 3971282 5105934 5956923 6807912 7942564 10211868 11913846 13899487 15885128 17870769 20423736 23827692 27798974 35741538 41698461 47655384 55597948 71483076 83396922 111195896 125095383 142966152 166793844 250190766 333587688 500381532 1000763064