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10769472 = 263272671
BaseRepresentation
bin101001000101…
…010001000000
3202021010221100
4221011101000
510224110342
61022454400
7160352610
oct51052100
922233840
1010769472
11609629a
123734400
132300b8c
141604a40
15e2ae4c
hexa45440

10769472 has 84 divisors (see below), whose sum is σ = 35291776. Its totient is φ = 3075840.

The previous prime is 10769467. The next prime is 10769477. The reversal of 10769472 is 27496701.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10769467) and next prime (10769477).

It is a tau number, because it is divible by the number of its divisors (84).

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

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (10769477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2697 + ... + 5367.

Almost surely, 210769472 is an apocalyptic number.

10769472 is a gapful number since it is divisible by the number (12) 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 10769472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17645888).

10769472 is an abundant number, since it is smaller than the sum of its proper divisors (24522304).

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

10769472 is a wasteful number, since it uses less digits than its factorization.

10769472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2696 (or 2683 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 10769472 is about 3281.6873708506. The cubic root of 10769472 is about 220.8334227918.

The spelling of 10769472 in words is "ten million, seven hundred sixty-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 2671 4032 5342 8013 10684 16026 18697 21368 24039 32052 37394 42736 48078 56091 64104 74788 85472 96156 112182 128208 149576 168273 170944 192312 224364 256416 299152 336546 384624 448728 512832 598304 673092 769248 897456 1196608 1346184 1538496 1794912 2692368 3589824 5384736 10769472