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10139280 = 243583509
BaseRepresentation
bin100110101011…
…011010010000
3201002010110220
4212223122100
510043424110
61001153040
7152116404
oct46533220
921063426
1010139280
1157a5878
12348b780
132140098
1414bd104
15d54370
hex9ab690

10139280 has 80 divisors (see below), whose sum is σ = 31872960. Its totient is φ = 2665984.

The previous prime is 10139279. The next prime is 10139281. The reversal of 10139280 is 8293101.

It is an interprime number because it is at equal distance from previous prime (10139279) and next prime (10139281).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10139280.

It is not an unprimeable number, because it can be changed into a prime (10139281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19666 + ... + 20174.

It is an arithmetic number, because the mean of its divisors is an integer number (398412).

Almost surely, 210139280 is an apocalyptic number.

10139280 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 10139280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15936480).

10139280 is an abundant number, since it is smaller than the sum of its proper divisors (21733680).

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

10139280 is a wasteful number, since it uses less digits than its factorization.

10139280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 10139280 is about 3184.2236102385. The cubic root of 10139280 is about 216.4390930725.

The spelling of 10139280 in words is "ten million, one hundred thirty-nine thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 83 120 166 240 249 332 415 498 509 664 830 996 1018 1245 1328 1527 1660 1992 2036 2490 2545 3054 3320 3984 4072 4980 5090 6108 6640 7635 8144 9960 10180 12216 15270 19920 20360 24432 30540 40720 42247 61080 84494 122160 126741 168988 211235 253482 337976 422470 506964 633705 675952 844940 1013928 1267410 1689880 2027856 2534820 3379760 5069640 10139280