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10455040 = 21151021
BaseRepresentation
bin100111111000…
…100000000000
3201200011121201
4213320200000
510134030130
61012030544
7154603111
oct47704000
921604551
1010455040
1159a1032
123602454
132220a1b
141562208
15db7bca
hex9f8800

10455040 has 48 divisors (see below), whose sum is σ = 25110540. Its totient is φ = 4177920.

The previous prime is 10455023. The next prime is 10455043. The reversal of 10455040 is 4055401.

It can be written as a sum of positive squares in 2 ways, for example, as 10445824 + 9216 = 3232^2 + 96^2 .

It is a super-2 number, since 2×104550402 = 218615722803200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10454999 and 10455017.

It is not an unprimeable number, because it can be changed into a prime (10455043) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9730 + ... + 10750.

Almost surely, 210455040 is an apocalyptic number.

10455040 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 10455040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12555270).

10455040 is an abundant number, since it is smaller than the sum of its proper divisors (14655500).

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

10455040 is an equidigital number, since it uses as much as digits as its factorization.

10455040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1048 (or 1028 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 19.

The square root of 10455040 is about 3233.4254282417. The cubic root of 10455040 is about 218.6629651036.

The spelling of 10455040 in words is "ten million, four hundred fifty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1021 1024 1280 2042 2048 2560 4084 5105 5120 8168 10210 10240 16336 20420 32672 40840 65344 81680 130688 163360 261376 326720 522752 653440 1045504 1306880 2091008 2613760 5227520 10455040