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10160416 = 25767677
BaseRepresentation
bin100110110000…
…100100100000
3201010012110201
4212300210200
510100113131
61001434544
7152235130
oct46604440
921105421
1010160416
11580a742
12349ba54
1321498a6
1414c6ac0
15d5a761
hex9b0920

10160416 has 48 divisors (see below), whose sum is σ = 23236416. Its totient is φ = 4283136.

The previous prime is 10160401. The next prime is 10160419. The reversal of 10160416 is 61406101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10160393 and 10160402.

It is not an unprimeable number, because it can be changed into a prime (10160419) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14670 + ... + 15346.

It is an arithmetic number, because the mean of its divisors is an integer number (484092).

Almost surely, 210160416 is an apocalyptic number.

10160416 is a gapful number since it is divisible by the number (16) 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 10160416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11618208).

10160416 is an abundant number, since it is smaller than the sum of its proper divisors (13076000).

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

10160416 is an equidigital number, since it uses as much as digits as its factorization.

10160416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 761 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 10160416 is about 3187.5407448376. The cubic root of 10160416 is about 216.5893825613.

Adding to 10160416 its reverse (61406101), we get a palindrome (71566517).

It can be divided in two parts, 101 and 60416, that multiplied together give a palindrome (6102016).

The spelling of 10160416 in words is "ten million, one hundred sixty thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 67 112 134 224 268 469 536 677 938 1072 1354 1876 2144 2708 3752 4739 5416 7504 9478 10832 15008 18956 21664 37912 45359 75824 90718 151648 181436 317513 362872 635026 725744 1270052 1451488 2540104 5080208 10160416