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10645740 = 22325721771
BaseRepresentation
bin101000100111…
…000011101100
3202000212012200
4220213003230
510211130430
61020101500
7156326100
oct50470354
922025180
1010645740
116011336
123694890
132289771
1415b1900
15e04460
hexa270ec

10645740 has 216 divisors, whose sum is σ = 40334112. Its totient is φ = 2257920.

The previous prime is 10645729. The next prime is 10645753. The reversal of 10645740 is 4754601.

10645740 is a `hidden beast` number, since 10 + 645 + 7 + 4 + 0 = 666.

It is a super-2 number, since 2×106457402 = 226663560295200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 149905 + ... + 149975.

It is an arithmetic number, because the mean of its divisors is an integer number (186732).

Almost surely, 210645740 is an apocalyptic number.

10645740 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 10645740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20167056).

10645740 is an abundant number, since it is smaller than the sum of its proper divisors (29688372).

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

10645740 is a wasteful number, since it uses less digits than its factorization.

10645740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 10645740 is about 3262.7810223795. The cubic root of 10645740 is about 219.9844341604.

The spelling of 10645740 in words is "ten million, six hundred forty-five thousand, seven hundred forty".