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10389060 = 2234511253
BaseRepresentation
bin100111101000…
…011001000100
3201112211010000
4213220121010
510124422220
61010401300
7154206543
oct47503104
921484100
1010389060
115956500
123590230
1321c9996
14154615a
15da3390
hex9e8644

10389060 has 180 divisors, whose sum is σ = 36498924. Its totient is φ = 2471040.

The previous prime is 10389037. The next prime is 10389089. The reversal of 10389060 is 6098301.

It can be written as a sum of positive squares in 2 ways, for example, as 5645376 + 4743684 = 2376^2 + 2178^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 195994 + ... + 196046.

Almost surely, 210389060 is an apocalyptic number.

10389060 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 10389060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18249462).

10389060 is an abundant number, since it is smaller than the sum of its proper divisors (26109864).

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

10389060 is a wasteful number, since it uses less digits than its factorization.

10389060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 10389060 is about 3223.2064780277. The cubic root of 10389060 is about 218.2020123354.

The spelling of 10389060 in words is "ten million, three hundred eighty-nine thousand, sixty".