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10273242 = 237283421
BaseRepresentation
bin100111001100…
…000111011010
3201022221020110
4213030013122
510112220432
61004105150
7153215100
oct47140732
921287213
1010273242
115887491
1235351b6
132189055
141515c70
15d7ddcc
hex9cc1da

10273242 has 48 divisors (see below), whose sum is σ = 24246432. Its totient is φ = 2892960.

The previous prime is 10273231. The next prime is 10273261. The reversal of 10273242 is 24237201.

10273242 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 24192 + ... + 24612.

It is an arithmetic number, because the mean of its divisors is an integer number (505134).

Almost surely, 210273242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10273242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12123216).

10273242 is an abundant number, since it is smaller than the sum of its proper divisors (13973190).

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

10273242 is a wasteful number, since it uses less digits than its factorization.

10273242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 10273242 is about 3205.1898539712. The cubic root of 10273242 is about 217.3881364257.

The spelling of 10273242 in words is "ten million, two hundred seventy-three thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 49 83 98 147 166 249 294 421 498 581 842 1162 1263 1743 2526 2947 3486 4067 5894 8134 8841 12201 17682 20629 24402 34943 41258 61887 69886 104829 123774 209658 244601 489202 733803 1467606 1712207 3424414 5136621 10273242