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10249470 = 23357111729
BaseRepresentation
bin100111000110…
…010011111110
3201021201122000
4213012103332
510110440340
61003403130
7153055560
oct47062376
921251560
1010249470
115870640
1235234a6
13217b29a
14150b330
15d76d30
hex9c64fe

10249470 has 256 divisors, whose sum is σ = 37324800. Its totient is φ = 1935360.

The previous prime is 10249469. The next prime is 10249471. The reversal of 10249470 is 7494201.

It is a happy number.

10249470 is a `hidden beast` number, since 102 + 494 + 70 = 666.

It is an interprime number because it is at equal distance from previous prime (10249469) and next prime (10249471).

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10249471) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 353416 + ... + 353444.

It is an arithmetic number, because the mean of its divisors is an integer number (145800).

Almost surely, 210249470 is an apocalyptic number.

10249470 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10249470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18662400).

10249470 is an abundant number, since it is smaller than the sum of its proper divisors (27075330).

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

10249470 is a wasteful number, since it uses less digits than its factorization.

10249470 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 10249470 is about 3201.4793455526. The cubic root of 10249470 is about 217.2203301992.

The spelling of 10249470 in words is "ten million, two hundred forty-nine thousand, four hundred seventy".