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10406060 = 2257239311
BaseRepresentation
bin100111101100…
…100010101100
3201120200102122
4213230202230
510130443220
61011012112
7154310240
oct47544254
921520378
1010406060
115968255
12359a038
132204642
14154c420
15da8425
hex9ec8ac

10406060 has 48 divisors (see below), whose sum is σ = 25159680. Its totient is φ = 3541440.

The previous prime is 10406047. The next prime is 10406069. The reversal of 10406060 is 6060401.

10406060 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

10406060 is a modest number, since divided by 6060 gives 1040 as remainder.

It is not an unprimeable number, because it can be changed into a prime (10406069) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33305 + ... + 33615.

It is an arithmetic number, because the mean of its divisors is an integer number (524160).

Almost surely, 210406060 is an apocalyptic number.

10406060 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 10406060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12579840).

10406060 is an abundant number, since it is smaller than the sum of its proper divisors (14753620).

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

10406060 is a wasteful number, since it uses less digits than its factorization.

10406060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 10406060 is about 3225.8425256047. The cubic root of 10406060 is about 218.3209647960.

Adding to 10406060 its reverse (6060401), we get a palindrome (16466461).

The spelling of 10406060 in words is "ten million, four hundred six thousand, sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 239 311 478 622 956 1195 1244 1555 1673 2177 2390 3110 3346 4354 4780 6220 6692 8365 8708 10885 16730 21770 33460 43540 74329 148658 297316 371645 520303 743290 1040606 1486580 2081212 2601515 5203030 10406060