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10320040 = 2351937367
BaseRepresentation
bin100111010111…
…100010101000
3201102022102201
4213113202220
510120220130
61005105544
7153501403
oct47274250
921368381
1010320040
115909665
1235582b4
1321a4443
141528d3a
15d8cbca
hex9d78a8

10320040 has 64 divisors (see below), whose sum is σ = 25171200. Its totient is φ = 3794688.

The previous prime is 10320029. The next prime is 10320067. The reversal of 10320040 is 4002301.

10320040 is digitally balanced in base 2, because in such base 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 (10).

It is a junction number, because it is equal to n+sod(n) for n = 10319999 and 10320026.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27937 + ... + 28303.

It is an arithmetic number, because the mean of its divisors is an integer number (393300).

Almost surely, 210320040 is an apocalyptic number.

10320040 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 10320040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12585600).

10320040 is an abundant number, since it is smaller than the sum of its proper divisors (14851160).

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

10320040 is a wasteful number, since it uses less digits than its factorization.

10320040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 10320040 is about 3212.4819065638. The cubic root of 10320040 is about 217.7177279789.

Adding to 10320040 its reverse (4002301), we get a palindrome (14322341).

The spelling of 10320040 in words is "ten million, three hundred twenty thousand, forty".

Divisors: 1 2 4 5 8 10 19 20 37 38 40 74 76 95 148 152 185 190 296 367 370 380 703 734 740 760 1406 1468 1480 1835 2812 2936 3515 3670 5624 6973 7030 7340 13579 13946 14060 14680 27158 27892 28120 34865 54316 55784 67895 69730 108632 135790 139460 258001 271580 278920 516002 543160 1032004 1290005 2064008 2580010 5160020 10320040