[go: up one dir, main page]

Search a number
-
+
10157856 = 253195569
BaseRepresentation
bin100110101111…
…111100100000
3201010001221220
4212233330200
510100022411
61001415040
7152224512
oct46577440
921101856
1010157856
115808825
12349a480
132148687
1414c5bb2
15d59b06
hex9aff20

10157856 has 48 divisors (see below), whose sum is σ = 28072800. Its totient is φ = 3207168.

The previous prime is 10157839. The next prime is 10157879. The reversal of 10157856 is 65875101.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 961 + ... + 4608.

It is an arithmetic number, because the mean of its divisors is an integer number (584850).

Almost surely, 210157856 is an apocalyptic number.

10157856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10157856 is an abundant number, since it is smaller than the sum of its proper divisors (17914944).

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

10157856 is a wasteful number, since it uses less digits than its factorization.

10157856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5601 (or 5593 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 33.

The square root of 10157856 is about 3187.1391560457. The cubic root of 10157856 is about 216.5711905439.

The spelling of 10157856 in words is "ten million, one hundred fifty-seven thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 5569 11138 16707 22276 33414 44552 66828 89104 105811 133656 178208 211622 267312 317433 423244 534624 634866 846488 1269732 1692976 2539464 3385952 5078928 10157856