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10769440 = 2551129211
BaseRepresentation
bin101001000101…
…010000100000
3202021010220011
4221011100200
510224110230
61022454304
7160352533
oct51052040
922233804
1010769440
116096270
123734394
132300b66
141604a1a
15e2ae2a
hexa45420

10769440 has 96 divisors (see below), whose sum is σ = 28848960. Its totient is φ = 3763200.

The previous prime is 10769417. The next prime is 10769453. The reversal of 10769440 is 4496701.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 50935 + ... + 51145.

It is an arithmetic number, because the mean of its divisors is an integer number (300510).

Almost surely, 210769440 is an apocalyptic number.

10769440 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 10769440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14424480).

10769440 is an abundant number, since it is smaller than the sum of its proper divisors (18079520).

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

10769440 is a wasteful number, since it uses less digits than its factorization.

10769440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 10769440 is about 3281.6824953063. The cubic root of 10769440 is about 220.8332040662.

The spelling of 10769440 in words is "ten million, seven hundred sixty-nine thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 29 32 40 44 55 58 80 88 110 116 145 160 176 211 220 232 290 319 352 422 440 464 580 638 844 880 928 1055 1160 1276 1595 1688 1760 2110 2320 2321 2552 3190 3376 4220 4640 4642 5104 6119 6380 6752 8440 9284 10208 11605 12238 12760 16880 18568 23210 24476 25520 30595 33760 37136 46420 48952 51040 61190 67309 74272 92840 97904 122380 134618 185680 195808 244760 269236 336545 371360 489520 538472 673090 979040 1076944 1346180 2153888 2692360 5384720 10769440