Search a number
-
+
10416620 = 2253153317
BaseRepresentation
bin100111101111…
…000111101100
3201121012220202
4213233013230
510131312440
61011133032
7154353104
oct47570754
921535822
1010416620
115975185
1235a4178
1322093a6
141552204
15dab615
hex9ef1ec

10416620 has 48 divisors (see below), whose sum is σ = 23079168. Its totient is φ = 3943680.

The previous prime is 10416619. The next prime is 10416643. The reversal of 10416620 is 2661401.

It is a happy number.

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 = 10416592 and 10416601.

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, 32702 + ... + 33018.

It is an arithmetic number, because the mean of its divisors is an integer number (480816).

Almost surely, 210416620 is an apocalyptic number.

10416620 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 10416620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11539584).

10416620 is an abundant number, since it is smaller than the sum of its proper divisors (12662548).

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

10416620 is a wasteful number, since it uses less digits than its factorization.

10416620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 10416620 is about 3227.4788922625. The cubic root of 10416620 is about 218.3947900469.

The spelling of 10416620 in words is "ten million, four hundred sixteen thousand, six hundred twenty".

Divisors: 1 2 4 5 10 20 31 53 62 106 124 155 212 265 310 317 530 620 634 1060 1268 1585 1643 3170 3286 6340 6572 8215 9827 16430 16801 19654 32860 33602 39308 49135 67204 84005 98270 168010 196540 336020 520831 1041662 2083324 2604155 5208310 10416620