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10073232 = 2432135381
BaseRepresentation
bin100110011011…
…010010010000
3200221202212200
4212123102100
510034320412
6555523200
7151423011
oct46332220
920852780
1010073232
115760194
123459500
132118cc0
1414a3008
15d3e9dc
hex99b490

10073232 has 60 divisors (see below), whose sum is σ = 30365244. Its totient is φ = 3098880.

The previous prime is 10073221. The next prime is 10073251. The reversal of 10073232 is 23237001.

It can be written as a sum of positive squares in 2 ways, for example, as 2322576 + 7750656 = 1524^2 + 2784^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 819 + ... + 4562.

Almost surely, 210073232 is an apocalyptic number.

10073232 is a gapful number since it is divisible by the number (12) 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 10073232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15182622).

10073232 is an abundant number, since it is smaller than the sum of its proper divisors (20292012).

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

10073232 is a wasteful number, since it uses less digits than its factorization.

10073232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5408 (or 5399 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 10073232 is about 3173.8355344914. The cubic root of 10073232 is about 215.9681022856.

The spelling of 10073232 in words is "ten million, seventy-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 5381 10762 16143 21524 32286 43048 48429 64572 69953 86096 96858 129144 139906 193716 209859 258288 279812 387432 419718 559624 629577 774864 839436 1119248 1259154 1678872 2518308 3357744 5036616 10073232