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10066413 = 37231472
BaseRepresentation
bin100110011001…
…100111101101
3200221102112010
4212121213231
510034111123
6555431433
7151364100
oct46314755
920842463
1010066413
115756055
123455579
132115b76
1414a0737
15d3c993
hex9999ed

10066413 has 36 divisors (see below), whose sum is σ = 16467072. Its totient is φ = 5448240.

The previous prime is 10066411. The next prime is 10066421. The reversal of 10066413 is 31466001.

10066413 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10066413 - 21 = 10066411 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a plaindrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 10066413.

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 35 ways as a sum of consecutive naturals, for example, 214156 + ... + 214202.

Almost surely, 210066413 is an apocalyptic number.

It is an amenable number.

10066413 is a deficient number, since it is larger than the sum of its proper divisors (6400659).

10066413 is an equidigital number, since it uses as much as digits as its factorization.

10066413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 10066413 is about 3172.7611003667. The cubic root of 10066413 is about 215.9193586145.

The spelling of 10066413 in words is "ten million, sixty-six thousand, four hundred thirteen".

Divisors: 1 3 7 21 31 47 49 93 141 147 217 329 651 987 1457 1519 2209 2303 4371 4557 6627 6909 10199 15463 30597 46389 68479 71393 108241 205437 214179 324723 479353 1438059 3355471 10066413