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11642420 = 2253715733
BaseRepresentation
bin101100011010…
…011000110100
3210220111101202
4230122120310
510440024140
61053312032
7200646626
oct54323064
923814352
1011642420
116632139
123a95618
13254830a
141790c16
15104e915
hexb1a634

11642420 has 24 divisors (see below), whose sum is σ = 25111464. Its totient is φ = 4530816.

The previous prime is 11642419. The next prime is 11642429. The reversal of 11642420 is 2424611.

It can be written as a sum of positive squares in 4 ways, for example, as 1157776 + 10484644 = 1076^2 + 3238^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 11642392 and 11642401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11642429) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 7127 + ... + 8606.

It is an arithmetic number, because the mean of its divisors is an integer number (1046311).

Almost surely, 211642420 is an apocalyptic number.

11642420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11642420 is an abundant number, since it is smaller than the sum of its proper divisors (13469044).

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

11642420 is a wasteful number, since it uses less digits than its factorization.

11642420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15779 (or 15777 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 11642420 is about 3412.0990606956. The cubic root of 11642420 is about 226.6458410317.

The spelling of 11642420 in words is "eleven million, six hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 15733 31466 62932 78665 157330 314660 582121 1164242 2328484 2910605 5821210 11642420