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10452000 = 253531367
BaseRepresentation
bin100111110111…
…110000100000
3201200000110010
4213313300200
510133431000
61012004520
7154561206
oct47676040
921600403
1010452000
115999819
123600740
13221c520
141561076
15db6d50
hex9f7c20

10452000 has 192 divisors, whose sum is σ = 37425024. Its totient is φ = 2534400.

The previous prime is 10451993. The next prime is 10452011. The reversal of 10452000 is 25401.

10452000 is digitally balanced in base 2, because in such base 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 (12).

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, 155967 + ... + 156033.

It is an arithmetic number, because the mean of its divisors is an integer number (194922).

Almost surely, 210452000 is an apocalyptic number.

10452000 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 10452000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18712512).

10452000 is an abundant number, since it is smaller than the sum of its proper divisors (26973024).

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

10452000 is a wasteful number, since it uses less digits than its factorization.

10452000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 10452000 is about 3232.9553043616. The cubic root of 10452000 is about 218.6417695892.

Adding to 10452000 its reverse (25401), we get a palindrome (10477401).

The spelling of 10452000 in words is "ten million, four hundred fifty-two thousand".