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10066416 = 243209717
BaseRepresentation
bin100110011001…
…100111110000
3200221102112020
4212121213300
510034111131
6555431440
7151364103
oct46314760
920842466
1010066416
115756058
123455580
132115b79
1414a073a
15d3c996
hex9999f0

10066416 has 20 divisors (see below), whose sum is σ = 26005032. Its totient is φ = 3355456.

The previous prime is 10066411. The next prime is 10066421. The reversal of 10066416 is 61466001.

10066416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10066411) and next prime (10066421).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10066411) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 104811 + ... + 104906.

Almost surely, 210066416 is an apocalyptic number.

10066416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10066416 is an abundant number, since it is smaller than the sum of its proper divisors (15938616).

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

10066416 is a wasteful number, since it uses less digits than its factorization.

10066416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209728 (or 209722 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 10066416 is about 3172.7615731410. The cubic root of 10066416 is about 215.9193800640.

The spelling of 10066416 in words is "ten million, sixty-six thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 48 209717 419434 629151 838868 1258302 1677736 2516604 3355472 5033208 10066416