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10859340 = 223529792
BaseRepresentation
bin101001011011…
…001101001100
3202102201012210
4221123031030
510234444330
61024430420
7161205612
oct51331514
922381183
1010859340
116147868
123778410
132332a5b
1416296b2
15e478b0
hexa5b34c

10859340 has 72 divisors (see below), whose sum is σ = 31857840. Its totient is φ = 2760576.

The previous prime is 10859333. The next prime is 10859341. The reversal of 10859340 is 4395801.

10859340 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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 10859298 and 10859307.

It is not an unprimeable number, because it can be changed into a prime (10859341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137421 + ... + 137499.

It is an arithmetic number, because the mean of its divisors is an integer number (442470).

Almost surely, 210859340 is an apocalyptic number.

10859340 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 10859340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15928920).

10859340 is an abundant number, since it is smaller than the sum of its proper divisors (20998500).

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

10859340 is a wasteful number, since it uses less digits than its factorization.

10859340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 10859340 is about 3295.3512711090. The cubic root of 10859340 is about 221.4459848552.

The spelling of 10859340 in words is "ten million, eight hundred fifty-nine thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 79 87 116 145 158 174 237 290 316 348 395 435 474 580 790 870 948 1185 1580 1740 2291 2370 4582 4740 6241 6873 9164 11455 12482 13746 18723 22910 24964 27492 31205 34365 37446 45820 62410 68730 74892 93615 124820 137460 180989 187230 361978 374460 542967 723956 904945 1085934 1809890 2171868 2714835 3619780 5429670 10859340