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10293320 = 235277929
BaseRepresentation
bin100111010001…
…000001001000
3201100221210002
4213101001020
510113341240
61004342132
7153330452
oct47210110
921327702
1010293320
1158a0584
123544948
13219522b
14151d2d2
15d84d15
hex9d1048

10293320 has 32 divisors (see below), whose sum is σ = 23268600. Its totient is φ = 4098048.

The previous prime is 10293319. The next prime is 10293341. The reversal of 10293320 is 2339201.

It can be written as a sum of positive squares in 4 ways, for example, as 3334276 + 6959044 = 1826^2 + 2638^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10293292 and 10293301.

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, 10616 + ... + 11544.

Almost surely, 210293320 is an apocalyptic number.

10293320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10293320 is an abundant number, since it is smaller than the sum of its proper divisors (12975280).

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

10293320 is a wasteful number, since it uses less digits than its factorization.

10293320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1217 (or 1213 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

The square root of 10293320 is about 3208.3204328745. The cubic root of 10293320 is about 217.5296652187.

The spelling of 10293320 in words is "ten million, two hundred ninety-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 277 554 929 1108 1385 1858 2216 2770 3716 4645 5540 7432 9290 11080 18580 37160 257333 514666 1029332 1286665 2058664 2573330 5146660 10293320