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10750080 = 273511509
BaseRepresentation
bin101001000000…
…100010000000
3202020011100010
4221000202000
510223000310
61022224520
7160242225
oct51004200
922204303
1010750080
116082770
123725140
1322c50c3
1415db94c
15e25320
hexa40880

10750080 has 128 divisors (see below), whose sum is σ = 37454400. Its totient is φ = 2600960.

The previous prime is 10750073. The next prime is 10750099. The reversal of 10750080 is 8005701.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20866 + ... + 21374.

Almost surely, 210750080 is an apocalyptic number.

10750080 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 10750080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18727200).

10750080 is an abundant number, since it is smaller than the sum of its proper divisors (26704320).

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

10750080 is a wasteful number, since it uses less digits than its factorization.

10750080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 21.

The square root of 10750080 is about 3278.7314620139. The cubic root of 10750080 is about 220.7007955942.

Adding to 10750080 its reverse (8005701), we get a palindrome (18755781).

The spelling of 10750080 in words is "ten million, seven hundred fifty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 264 320 330 352 384 440 480 509 528 640 660 704 880 960 1018 1056 1320 1408 1527 1760 1920 2036 2112 2545 2640 3054 3520 4072 4224 5090 5280 5599 6108 7040 7635 8144 10180 10560 11198 12216 15270 16288 16797 20360 21120 22396 24432 27995 30540 32576 33594 40720 44792 48864 55990 61080 65152 67188 81440 83985 89584 97728 111980 122160 134376 162880 167970 179168 195456 223960 244320 268752 325760 335940 358336 447920 488640 537504 671880 716672 895840 977280 1075008 1343760 1791680 2150016 2687520 3583360 5375040 10750080