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10035230976 = 283220872
BaseRepresentation
bin10010101100010010…
…10111100100000000
3221220101001112221100
421112021113210000
5131023004342401
64335441454400
7503453025111
oct112611274400
927811045840
1010035230976
11428a698621
121b40941400
13c3c0a43c4
146b2ad4208
153db01bb86
hex256257900

10035230976 has 81 divisors (see below), whose sum is σ = 28947915451. Its totient is φ = 3343474176.

The previous prime is 10035230939. The next prime is 10035230987. The reversal of 10035230976 is 67903253001.

The square root of 10035230976 is 100176.

It is a perfect power (a square), and thus also a powerful number.

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10035230976.

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 8 ways as a sum of consecutive naturals, for example, 4807405 + ... + 4809491.

Almost surely, 210035230976 is an apocalyptic number.

10035230976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10035230976 is the 100176-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10035230976

10035230976 is an abundant number, since it is smaller than the sum of its proper divisors (18912684475).

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

10035230976 is an frugal number, since it uses more digits than its factorization.

10035230976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4196 (or 2092 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

Multiplying 10035230976 by its sum of digits (36), we get a square (361268315136 = 6010562).

10035230976 divided by its sum of digits (36) gives a square (278756416 = 166962).

Adding to 10035230976 its reverse (67903253001), we get a palindrome (77938483977).

It can be divided in two parts, 100352 and 30976, that added together give a triangular number (131328 = T512).

The spelling of 10035230976 in words is "ten billion, thirty-five million, two hundred thirty thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2087 2304 4174 6261 8348 12522 16696 18783 25044 33392 37566 50088 66784 75132 100176 133568 150264 200352 267136 300528 400704 534272 601056 801408 1202112 1602816 2404224 4355569 4808448 8711138 13066707 17422276 26133414 34844552 39200121 52266828 69689104 78400242 104533656 139378208 156800484 209067312 278756416 313600968 418134624 557512832 627201936 836269248 1115025664 1254403872 1672538496 2508807744 3345076992 5017615488 10035230976