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10575414 = 233376779
BaseRepresentation
bin101000010101…
…111000110110
3201220021202000
4220111320312
510201403124
61014400130
7155614053
oct50257066
921807660
1010575414
115a73513
123660046
132263755
14159402a
15ddd6c9
hexa15e36

10575414 has 64 divisors (see below), whose sum is σ = 24806400. Its totient is φ = 3335904.

The previous prime is 10575373. The next prime is 10575431. The reversal of 10575414 is 41457501.

It is a happy number.

10575414 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105754142 = 223678762542792, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 133827 + ... + 133905.

It is an arithmetic number, because the mean of its divisors is an integer number (387600).

Almost surely, 210575414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10575414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12403200).

10575414 is an abundant number, since it is smaller than the sum of its proper divisors (14230986).

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

10575414 is a wasteful number, since it uses less digits than its factorization.

10575414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 10575414 is about 3251.9861623322. The cubic root of 10575414 is about 219.4989561718.

The spelling of 10575414 in words is "ten million, five hundred seventy-five thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 27 37 54 67 74 79 111 134 158 201 222 237 333 402 474 603 666 711 999 1206 1422 1809 1998 2133 2479 2923 3618 4266 4958 5293 5846 7437 8769 10586 14874 15879 17538 22311 26307 31758 44622 47637 52614 66933 78921 95274 133866 142911 157842 195841 285822 391682 587523 1175046 1762569 3525138 5287707 10575414