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10031424 = 263134019
BaseRepresentation
bin100110010001…
…000101000000
3200212122112020
4212101011000
510032001144
6555001440
7151160064
oct46210500
920778466
1010031424
115731837
123439280
132102c70
141491aa4
15d32419
hex991140

10031424 has 56 divisors (see below), whose sum is σ = 28590240. Its totient is φ = 3085824.

The previous prime is 10031407. The next prime is 10031431. The reversal of 10031424 is 42413001.

It is a congruent number.

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, 487 + ... + 4505.

It is an arithmetic number, because the mean of its divisors is an integer number (510540).

Almost surely, 210031424 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 10031424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14295120).

10031424 is an abundant number, since it is smaller than the sum of its proper divisors (18558816).

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

10031424 is a wasteful number, since it uses less digits than its factorization.

10031424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4047 (or 4037 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 10031424 is about 3167.2423336398. The cubic root of 10031424 is about 215.6689028857.

Adding to 10031424 its reverse (42413001), we get a palindrome (52444425).

The spelling of 10031424 in words is "ten million, thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 1248 2496 4019 8038 12057 16076 24114 32152 48228 52247 64304 96456 104494 128608 156741 192912 208988 257216 313482 385824 417976 626964 771648 835952 1253928 1671904 2507856 3343808 5015712 10031424