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10414020 = 2235374691
BaseRepresentation
bin100111101110…
…011111000100
3201121002100110
4213232133010
510131222040
61011113020
7154342401
oct47563704
921532313
1010414020
115973231
1235a2770
132208156
1415512a8
15daa980
hex9ee7c4

10414020 has 48 divisors (see below), whose sum is σ = 29953728. Its totient is φ = 2701440.

The previous prime is 10414007. The next prime is 10414039. The reversal of 10414020 is 2041401.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a nialpdrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 10413987 and 10414005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126 + ... + 4565.

It is an arithmetic number, because the mean of its divisors is an integer number (624036).

Almost surely, 210414020 is an apocalyptic number.

10414020 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 10414020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14976864).

10414020 is an abundant number, since it is smaller than the sum of its proper divisors (19539708).

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

10414020 is a wasteful number, since it uses less digits than its factorization.

10414020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4740 (or 4738 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 10414020 is about 3227.0760759548. The cubic root of 10414020 is about 218.3766180069.

Adding to 10414020 its reverse (2041401), we get a palindrome (12455421).

The spelling of 10414020 in words is "ten million, four hundred fourteen thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 2220 4691 9382 14073 18764 23455 28146 46910 56292 70365 93820 140730 173567 281460 347134 520701 694268 867835 1041402 1735670 2082804 2603505 3471340 5207010 10414020