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10190656 = 26723243
BaseRepresentation
bin100110110111…
…111101000000
3201011201221201
4212313331000
510102100111
61002230544
7152422240
oct46677500
921151851
1010190656
115830433
1234b5454
13215a598
1414d3b20
15d646c1
hex9b7f40

10190656 has 84 divisors (see below), whose sum is σ = 24721312. Its totient is φ = 4080384.

The previous prime is 10190647. The next prime is 10190659. The reversal of 10190656 is 65609101.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10190659) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 236971 + ... + 237013.

Almost surely, 210190656 is an apocalyptic number.

10190656 is a gapful number since it is divisible by the number (16) 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 10190656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12360656).

10190656 is an abundant number, since it is smaller than the sum of its proper divisors (14530656).

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

10190656 is an equidigital number, since it uses as much as digits as its factorization.

10190656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 28.

The square root of 10190656 is about 3192.2806894131. The cubic root of 10190656 is about 216.8040448949.

Adding to 10190656 its reverse (65609101), we get a palindrome (75799757).

The spelling of 10190656 in words is "ten million, one hundred ninety thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 23 28 32 43 46 56 64 86 92 112 161 172 184 224 301 322 344 368 448 529 602 644 688 736 989 1058 1204 1288 1376 1472 1978 2116 2408 2576 2752 3703 3956 4232 4816 5152 6923 7406 7912 8464 9632 10304 13846 14812 15824 16928 19264 22747 27692 29624 31648 33856 45494 55384 59248 63296 90988 110768 118496 159229 181976 221536 236992 318458 363952 443072 636916 727904 1273832 1455808 2547664 5095328 10190656