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10750960 = 2451119643
BaseRepresentation
bin101001000000…
…101111110000
3202020012112201
4221000233300
510223012320
61022232544
7160244623
oct51005760
922205481
1010750960
1160833a0
123725754
1322c561c
1415dbdba
15e2570a
hexa40bf0

10750960 has 80 divisors (see below), whose sum is σ = 28748160. Its totient is φ = 3697920.

The previous prime is 10750939. The next prime is 10750963. The reversal of 10750960 is 6905701.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10750963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16399 + ... + 17041.

It is an arithmetic number, because the mean of its divisors is an integer number (359352).

Almost surely, 210750960 is an apocalyptic number.

10750960 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 10750960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14374080).

10750960 is an abundant number, since it is smaller than the sum of its proper divisors (17997200).

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

10750960 is a wasteful number, since it uses less digits than its factorization.

10750960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 28.

The square root of 10750960 is about 3278.8656575102. The cubic root of 10750960 is about 220.7068176084.

The spelling of 10750960 in words is "ten million, seven hundred fifty thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 38 40 44 55 76 80 88 95 110 152 176 190 209 220 304 380 418 440 643 760 836 880 1045 1286 1520 1672 2090 2572 3215 3344 4180 5144 6430 7073 8360 10288 12217 12860 14146 16720 24434 25720 28292 35365 48868 51440 56584 61085 70730 97736 113168 122170 134387 141460 195472 244340 268774 282920 488680 537548 565840 671935 977360 1075096 1343870 2150192 2687740 5375480 10750960