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1030817920 = 27511146423
BaseRepresentation
bin111101011100010…
…000100010000000
32122211122222100111
4331130100202000
54102342133140
6250142001104
734354544026
oct7534204200
92584588314
101030817920
11489962840
12249276194
1313573a542
149ac90716
156076c7ea
hex3d710880

1030817920 has 64 divisors (see below), whose sum is σ = 2688344640. Its totient is φ = 374840320.

The previous prime is 1030817903. The next prime is 1030817929. The reversal of 1030817920 is 297180301.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (1030817929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66172 + ... + 80251.

It is an arithmetic number, because the mean of its divisors is an integer number (42005385).

Almost surely, 21030817920 is an apocalyptic number.

1030817920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1030817920 is an abundant number, since it is smaller than the sum of its proper divisors (1657526720).

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

1030817920 is a wasteful number, since it uses less digits than its factorization.

1030817920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146453 (or 146441 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 31.

The square root of 1030817920 is about 32106.3532653586. The cubic root of 1030817920 is about 1010.1688833039.

The spelling of 1030817920 in words is "one billion, thirty million, eight hundred seventeen thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 320 352 440 640 704 880 1408 1760 3520 7040 146423 292846 585692 732115 1171384 1464230 1610653 2342768 2928460 3221306 4685536 5856920 6442612 8053265 9371072 11713840 12885224 16106530 18742144 23427680 25770448 32213060 46855360 51540896 64426120 93710720 103081792 128852240 206163584 257704480 515408960 1030817920