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1023793668 = 22344767231
BaseRepresentation
bin111101000001011…
…101101000000100
32122100110002220000
4331001131220010
54044042344133
6245331241300
734241050122
oct7501355004
92570402800
101023793668
114859a5377
12246a49230
1313414b291
1499d82912
155ed31413
hex3d05da04

1023793668 has 60 divisors (see below), whose sum is σ = 2733384192. Its totient is φ = 333998640.

The previous prime is 1023793637. The next prime is 1023793679. The reversal of 1023793668 is 8663973201.

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 19 ways as a sum of consecutive naturals, for example, 18388 + ... + 48843.

Almost surely, 21023793668 is an apocalyptic number.

1023793668 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1023793668 is an abundant number, since it is smaller than the sum of its proper divisors (1709590524).

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

1023793668 is a wasteful number, since it uses less digits than its factorization.

1023793668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67294 (or 67283 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 1023793668 is about 31996.7759000809. The cubic root of 1023793668 is about 1007.8691369231.

The spelling of 1023793668 in words is "one billion, twenty-three million, seven hundred ninety-three thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 47 54 81 94 108 141 162 188 282 324 423 564 846 1269 1692 2538 3807 5076 7614 15228 67231 134462 201693 268924 403386 605079 806772 1210158 1815237 2420316 3159857 3630474 5445711 6319714 7260948 9479571 10891422 12639428 18959142 21782844 28438713 37918284 56877426 85316139 113754852 170632278 255948417 341264556 511896834 1023793668