Search a number
-
+
10031420 = 225779907
BaseRepresentation
bin100110010001…
…000100111100
3200212122112002
4212101010330
510032001140
6555001432
7151160060
oct46210474
920778462
1010031420
115731833
123439278
132102c69
141491aa0
15d32415
hex99113c

10031420 has 48 divisors (see below), whose sum is σ = 24407040. Its totient is φ = 3392064.

The previous prime is 10031407. The next prime is 10031431. The reversal of 10031420 is 2413001.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10607 + ... + 11513.

It is an arithmetic number, because the mean of its divisors is an integer number (508480).

Almost surely, 210031420 is an apocalyptic number.

10031420 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 10031420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12203520).

10031420 is an abundant number, since it is smaller than the sum of its proper divisors (14375620).

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

10031420 is a wasteful number, since it uses less digits than its factorization.

10031420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 10031420 is about 3167.2417021756. The cubic root of 10031420 is about 215.6688742199.

Adding to 10031420 its reverse (2413001), we get a palindrome (12444421).

The spelling of 10031420 in words is "ten million, thirty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 79 140 158 316 395 553 790 907 1106 1580 1814 2212 2765 3628 4535 5530 6349 9070 11060 12698 18140 25396 31745 63490 71653 126980 143306 286612 358265 501571 716530 1003142 1433060 2006284 2507855 5015710 10031420