Search a number
-
+
10783368 = 2336432
BaseRepresentation
bin101001001000…
…101010001000
3202021212000000
4221020222020
510230031433
61023043000
7160441251
oct51105210
922255000
1010783368
1160a5782
123740460
1323072bb
141609b28
15e30113
hexa48a88

10783368 has 84 divisors (see below), whose sum is σ = 31035735. Its totient is φ = 3510864.

The previous prime is 10783349. The next prime is 10783373. The reversal of 10783368 is 86338701.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 5391684 + 5391684 = 2322^2 + 2322^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=2322.

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

It is a zygodrome in base 9.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 250755 + ... + 250797.

Almost surely, 210783368 is an apocalyptic number.

10783368 is a gapful number since it is divisible by the number (18) 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 10783368

10783368 is an abundant number, since it is smaller than the sum of its proper divisors (20252367).

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

10783368 is an frugal number, since it uses more digits than its factorization.

10783368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 10783368 is about 3283.8038918303. The cubic root of 10783368 is about 220.9283634514.

The spelling of 10783368 in words is "ten million, seven hundred eighty-three thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 43 54 72 81 86 108 129 162 172 216 243 258 324 344 387 486 516 648 729 774 972 1032 1161 1458 1548 1849 1944 2322 2916 3096 3483 3698 4644 5547 5832 6966 7396 9288 10449 11094 13932 14792 16641 20898 22188 27864 31347 33282 41796 44376 49923 62694 66564 83592 99846 125388 133128 149769 199692 250776 299538 399384 449307 599076 898614 1198152 1347921 1797228 2695842 3594456 5391684 10783368