[go: up one dir, main page]

Search a number
-
+
10018880 = 265131239
BaseRepresentation
bin100110001110…
…000001000000
3200212000022122
4212032001000
510031101010
6554423412
7151105364
oct46160100
920760278
1010018880
115723373
123431b68
1320ca341
14148b2a4
15d2d855
hex98e040

10018880 has 56 divisors (see below), whose sum is σ = 24140160. Its totient is φ = 3960320.

The previous prime is 10018873. The next prime is 10018907. The reversal of 10018880 is 8881001.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41801 + ... + 42039.

Almost surely, 210018880 is an apocalyptic number.

10018880 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 10018880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12070080).

10018880 is an abundant number, since it is smaller than the sum of its proper divisors (14121280).

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

10018880 is a wasteful number, since it uses less digits than its factorization.

10018880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 26.

The square root of 10018880 is about 3165.2614425984. The cubic root of 10018880 is about 215.5789695204.

Adding to 10018880 its reverse (8881001), we get a palindrome (18899881).

The spelling of 10018880 in words is "ten million, eighteen thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 131 160 239 262 320 478 524 655 956 1048 1195 1310 1912 2096 2390 2620 3824 4192 4780 5240 7648 8384 9560 10480 15296 19120 20960 31309 38240 41920 62618 76480 125236 156545 250472 313090 500944 626180 1001888 1252360 2003776 2504720 5009440 10018880