Search a number
-
+
10031320 = 23513101191
BaseRepresentation
bin100110010001…
…000011011000
3200212122101101
4212101003120
510032000240
6555001144
7151156555
oct46210330
920778341
1010031320
115731752
1234391b4
132102bc0
141491a2c
15d3239a
hex9910d8

10031320 has 64 divisors (see below), whose sum is σ = 24675840. Its totient is φ = 3648000.

The previous prime is 10031317. The next prime is 10031323. The reversal of 10031320 is 2313001.

It is an interprime number because it is at equal distance from previous prime (10031317) and next prime (10031323).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a zygodrome in base 6.

It is a junction number, because it is equal to n+sod(n) for n = 10031297 and 10031306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10031323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52425 + ... + 52615.

It is an arithmetic number, because the mean of its divisors is an integer number (385560).

Almost surely, 210031320 is an apocalyptic number.

10031320 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 10031320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12337920).

10031320 is an abundant number, since it is smaller than the sum of its proper divisors (14644520).

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

10031320 is a wasteful number, since it uses less digits than its factorization.

10031320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 10031320 is about 3167.2259155292. The cubic root of 10031320 is about 215.6681575730.

Adding to 10031320 its reverse (2313001), we get a palindrome (12344321).

The spelling of 10031320 in words is "ten million, thirty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 101 104 130 191 202 260 382 404 505 520 764 808 955 1010 1313 1528 1910 2020 2483 2626 3820 4040 4966 5252 6565 7640 9932 10504 12415 13130 19291 19864 24830 26260 38582 49660 52520 77164 96455 99320 154328 192910 250783 385820 501566 771640 1003132 1253915 2006264 2507830 5015660 10031320