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4102416 = 243231919
BaseRepresentation
bin1111101001100100010000
321201102110100
433221210100
52022234131
6223532400
746604253
oct17514420
97642410
104102416
11235222a
12145a100
13b08386
1478b09a
155607e6
hex3e9910

4102416 has 60 divisors (see below), whose sum is σ = 11864320. Its totient is φ = 1321920.

The previous prime is 4102409. The next prime is 4102453. The reversal of 4102416 is 6142014.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4005 + ... + 4923.

Almost surely, 24102416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4102416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5932160).

4102416 is an abundant number, since it is smaller than the sum of its proper divisors (7761904).

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

4102416 is a wasteful number, since it uses less digits than its factorization.

4102416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 964 (or 955 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 4102416 is about 2025.4421739462. The cubic root of 4102416 is about 160.0834980845.

The spelling of 4102416 in words is "four million, one hundred two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 496 558 744 919 1116 1488 1838 2232 2757 3676 4464 5514 7352 8271 11028 14704 16542 22056 28489 33084 44112 56978 66168 85467 113956 132336 170934 227912 256401 341868 455824 512802 683736 1025604 1367472 2051208 4102416