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10054374 = 231131259
BaseRepresentation
bin100110010110…
…101011100110
3200220211000020
4212112223212
510033214444
6555300010
7151314021
oct46265346
920824006
1010054374
115748000
12344a606
132110545
14149a1b8
15d39119
hex996ae6

10054374 has 32 divisors (see below), whose sum is σ = 22135680. Its totient is φ = 3044360.

The previous prime is 10054349. The next prime is 10054379. The reversal of 10054374 is 47345001.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10054379) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7357 + ... + 8615.

It is an arithmetic number, because the mean of its divisors is an integer number (691740).

Almost surely, 210054374 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10054374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11067840).

10054374 is an abundant number, since it is smaller than the sum of its proper divisors (12081306).

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

10054374 is a wasteful number, since it uses less digits than its factorization.

10054374 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1297 (or 1275 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 10054374 is about 3170.8632893898. The cubic root of 10054374 is about 215.8332475001.

Adding to 10054374 its reverse (47345001), we get a palindrome (57399375).

The spelling of 10054374 in words is "ten million, fifty-four thousand, three hundred seventy-four".

Divisors: 1 2 3 6 11 22 33 66 121 242 363 726 1259 1331 2518 2662 3777 3993 7554 7986 13849 27698 41547 83094 152339 304678 457017 914034 1675729 3351458 5027187 10054374