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10928320 = 265133771
BaseRepresentation
bin101001101100…
…000011000000
3202120012211121
4221230003000
510244201240
61030122024
7161613664
oct51540300
922505747
1010928320
116194677
1237b0314
132358280
1416468a4
15e5d04a
hexa6c0c0

10928320 has 112 divisors (see below), whose sum is σ = 29187648. Its totient is φ = 3870720.

The previous prime is 10928317. The next prime is 10928327. The reversal of 10928320 is 2382901.

It is not an unprimeable number, because it can be changed into a prime (10928327) 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, 153885 + ... + 153955.

It is an arithmetic number, because the mean of its divisors is an integer number (260604).

Almost surely, 210928320 is an apocalyptic number.

10928320 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 10928320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14593824).

10928320 is an abundant number, since it is smaller than the sum of its proper divisors (18259328).

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

10928320 is a wasteful number, since it uses less digits than its factorization.

10928320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 10928320 is about 3305.8009619455. The cubic root of 10928320 is about 221.9138805103.

The spelling of 10928320 in words is "ten million, nine hundred twenty-eight thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 37 40 52 64 65 71 74 80 104 130 142 148 160 185 208 260 284 296 320 355 370 416 481 520 568 592 710 740 832 923 962 1040 1136 1184 1420 1480 1846 1924 2080 2272 2368 2405 2627 2840 2960 3692 3848 4160 4544 4615 4810 5254 5680 5920 7384 7696 9230 9620 10508 11360 11840 13135 14768 15392 18460 19240 21016 22720 26270 29536 30784 34151 36920 38480 42032 52540 59072 68302 73840 76960 84064 105080 136604 147680 153920 168128 170755 210160 273208 295360 341510 420320 546416 683020 840640 1092832 1366040 2185664 2732080 5464160 10928320