Search a number
-
+
10180280 = 23511171361
BaseRepresentation
bin100110110101…
…011010111000
3201011012201102
4212311122320
510101232110
61002110532
7152350055
oct46653270
921135642
1010180280
115823660
1234ab448
132155946
1414d002c
15d615a5
hex9b56b8

10180280 has 64 divisors (see below), whose sum is σ = 26477280. Its totient is φ = 3481600.

The previous prime is 10180279. The next prime is 10180327. The reversal of 10180280 is 8208101.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 6800 + ... + 8160.

Almost surely, 210180280 is an apocalyptic number.

10180280 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 10180280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13238640).

10180280 is an abundant number, since it is smaller than the sum of its proper divisors (16297000).

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

10180280 is a wasteful number, since it uses less digits than its factorization.

10180280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1400 (or 1396 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

The square root of 10180280 is about 3190.6551051469. The cubic root of 10180280 is about 216.7304375074.

Adding to 10180280 its reverse (8208101), we get a palindrome (18388381).

The spelling of 10180280 in words is "ten million, one hundred eighty thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 11 17 20 22 34 40 44 55 68 85 88 110 136 170 187 220 340 374 440 680 748 935 1361 1496 1870 2722 3740 5444 6805 7480 10888 13610 14971 23137 27220 29942 46274 54440 59884 74855 92548 115685 119768 149710 185096 231370 254507 299420 462740 509014 598840 925480 1018028 1272535 2036056 2545070 5090140 10180280