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10140224 = 261931269
BaseRepresentation
bin100110101011…
…101001000000
3201002011202212
4212223221000
510043441344
61001201252
7152122223
oct46535100
921064685
1010140224
1157a6556
123490228
132140643
1414bd5ba
15d5479e
hex9aba40

10140224 has 56 divisors (see below), whose sum is σ = 21945600. Its totient is φ = 4631040.

The previous prime is 10140209. The next prime is 10140233. The reversal of 10140224 is 42204101.

It is a junction number, because it is equal to n+sod(n) for n = 10140199 and 10140208.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37562 + ... + 37830.

Almost surely, 210140224 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 10140224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10972800).

10140224 is an abundant number, since it is smaller than the sum of its proper divisors (11805376).

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

10140224 is a wasteful number, since it uses less digits than its factorization.

10140224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 10140224 is about 3184.3718375843. The cubic root of 10140224 is about 216.4458099256.

Adding to 10140224 its reverse (42204101), we get a palindrome (52344325).

The spelling of 10140224 in words is "ten million, one hundred forty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 19 31 32 38 62 64 76 124 152 248 269 304 496 538 589 608 992 1076 1178 1216 1984 2152 2356 4304 4712 5111 8339 8608 9424 10222 16678 17216 18848 20444 33356 37696 40888 66712 81776 133424 158441 163552 266848 316882 327104 533696 633764 1267528 2535056 5070112 10140224