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10463040 = 263357173
BaseRepresentation
bin100111111010…
…011101000000
3201200120121000
4213322131000
510134304130
61012132000
7154635330
oct47723500
921616530
1010463040
1159a7045
123607000
132224563
1415650c0
15dba260
hex9fa740

10463040 has 224 divisors, whose sum is σ = 42428160. Its totient is φ = 2377728.

The previous prime is 10463029. The next prime is 10463059. The reversal of 10463040 is 4036401.

10463040 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 tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60394 + ... + 60566.

Almost surely, 210463040 is an apocalyptic number.

10463040 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 10463040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21214080).

10463040 is an abundant number, since it is smaller than the sum of its proper divisors (31965120).

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

10463040 is a wasteful number, since it uses less digits than its factorization.

10463040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 10463040 is about 3234.6622698514. The cubic root of 10463040 is about 218.7187231473.

Adding to 10463040 its reverse (4036401), we get a palindrome (14499441).

The spelling of 10463040 in words is "ten million, four hundred sixty-three thousand, forty".