Search a number
-
+
10031376 = 2431032029
BaseRepresentation
bin100110010001…
…000100010000
3200212122110110
4212101010100
510032001001
6555001320
7151156665
oct46210420
920778413
1010031376
1157317a3
123439240
132102c34
141491a6c
15d323d6
hex991110

10031376 has 40 divisors (see below), whose sum is σ = 26178880. Its totient is φ = 3309696.

The previous prime is 10031369. The next prime is 10031407. The reversal of 10031376 is 67313001.

It is a nialpdrome in base 16.

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, 3930 + ... + 5958.

It is an arithmetic number, because the mean of its divisors is an integer number (654472).

Almost surely, 210031376 is an apocalyptic number.

10031376 is a gapful number since it is divisible by the number (16) 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 10031376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13089440).

10031376 is an abundant number, since it is smaller than the sum of its proper divisors (16147504).

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

10031376 is a wasteful number, since it uses less digits than its factorization.

10031376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2143 (or 2137 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 21.

The square root of 10031376 is about 3167.2347560609. The cubic root of 10031376 is about 215.6685588958.

Adding to 10031376 its reverse (67313001), we get a palindrome (77344377).

The spelling of 10031376 in words is "ten million, thirty-one thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 103 206 309 412 618 824 1236 1648 2029 2472 4058 4944 6087 8116 12174 16232 24348 32464 48696 97392 208987 417974 626961 835948 1253922 1671896 2507844 3343792 5015688 10031376