Search a number
-
+
10031476 = 22721331127
BaseRepresentation
bin100110010001…
…000101110100
3200212122121011
4212101011310
510032001401
6555002004
7151160200
oct46210564
920778534
1010031476
115731884
123439304
132102cb0
141491b00
15d32451
hex991174

10031476 has 72 divisors (see below), whose sum is σ = 22880256. Its totient is φ = 3810240.

The previous prime is 10031459. The next prime is 10031533. The reversal of 10031476 is 67413001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78925 + ... + 79051.

Almost surely, 210031476 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10031476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11440128).

10031476 is an abundant number, since it is smaller than the sum of its proper divisors (12848780).

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

10031476 is a wasteful number, since it uses less digits than its factorization.

10031476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 10031476 is about 3167.2505426631. The cubic root of 10031476 is about 215.6692755401.

Adding to 10031476 its reverse (67413001), we get a palindrome (77444477).

The spelling of 10031476 in words is "ten million, thirty-one thousand, four hundred seventy-six".

Divisors: 1 2 4 7 13 14 26 28 31 49 52 62 91 98 124 127 182 196 217 254 364 403 434 508 637 806 868 889 1274 1519 1612 1651 1778 2548 2821 3038 3302 3556 3937 5642 6076 6223 6604 7874 11284 11557 12446 15748 19747 23114 24892 27559 39494 46228 51181 55118 78988 80899 102362 110236 161798 192913 204724 323596 358267 385826 716534 771652 1433068 2507869 5015738 10031476