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10239040 = 26572653
BaseRepresentation
bin100111000011…
…110001000000
3201021012022201
4213003301000
510110122130
61003242544
7153013300
oct47036100
921235281
1010239040
115863819
123519454
132176606
141507600
15d73bca
hex9c3c40

10239040 has 84 divisors (see below), whose sum is σ = 28405836. Its totient is φ = 3505152.

The previous prime is 10239023. The next prime is 10239067. The reversal of 10239040 is 4093201.

It can be written as a sum of positive squares in 2 ways, for example, as 3013696 + 7225344 = 1736^2 + 2688^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10238999 and 10239017.

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, 15354 + ... + 16006.

Almost surely, 210239040 is an apocalyptic number.

10239040 is a gapful number since it is divisible by the number (10) 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 10239040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14202918).

10239040 is an abundant number, since it is smaller than the sum of its proper divisors (18166796).

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

10239040 is an equidigital number, since it uses as much as digits as its factorization.

10239040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 10239040 is about 3199.8499964842. The cubic root of 10239040 is about 217.1466230715.

The spelling of 10239040 in words is "ten million, two hundred thirty-nine thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 140 160 196 224 245 280 320 392 448 490 560 653 784 980 1120 1306 1568 1960 2240 2612 3136 3265 3920 4571 5224 6530 7840 9142 10448 13060 15680 18284 20896 22855 26120 31997 36568 41792 45710 52240 63994 73136 91420 104480 127988 146272 159985 182840 208960 255976 292544 319970 365680 511952 639940 731360 1023904 1279880 1462720 2047808 2559760 5119520 10239040