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10420605 = 3251347379
BaseRepresentation
bin100111110000…
…000101111101
3201121102101100
4213300011331
510131424410
61011203313
7154400526
oct47600575
921542340
1010420605
115978178
1235a6539
13220b150
14155384d
15dac8c0
hex9f017d

10420605 has 48 divisors (see below), whose sum is σ = 19918080. Its totient is φ = 5007744.

The previous prime is 10420603. The next prime is 10420637. The reversal of 10420605 is 50602401.

It is a happy number.

It is not a de Polignac number, because 10420605 - 21 = 10420603 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10420603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27306 + ... + 27684.

It is an arithmetic number, because the mean of its divisors is an integer number (414960).

Almost surely, 210420605 is an apocalyptic number.

10420605 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10420605 is a deficient number, since it is larger than the sum of its proper divisors (9497475).

10420605 is a wasteful number, since it uses less digits than its factorization.

10420605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 10420605 is about 3228.0961881580. The cubic root of 10420605 is about 218.4226363246.

It can be divided in two parts, 10420 and 605, that added together give a square (11025 = 1052).

The spelling of 10420605 in words is "ten million, four hundred twenty thousand, six hundred five".

Divisors: 1 3 5 9 13 15 39 45 47 65 117 141 195 235 379 423 585 611 705 1137 1833 1895 2115 3055 3411 4927 5499 5685 9165 14781 17055 17813 24635 27495 44343 53439 73905 89065 160317 221715 231569 267195 694707 801585 1157845 2084121 3473535 10420605