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10116420 = 22351391213
BaseRepresentation
bin100110100101…
…110101000100
3201000222010020
4212211311010
510042211140
61000455140
7151662636
oct46456504
921028106
1010116420
11578a686
12347a4b0
132132862
1414b4a56
15d4c6d0
hex9a5d44

10116420 has 48 divisors (see below), whose sum is σ = 28553280. Its totient is φ = 2676096.

The previous prime is 10116409. The next prime is 10116427. The reversal of 10116420 is 2461101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10116420.

It is not an unprimeable number, because it can be changed into a prime (10116427) 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 15 ways as a sum of consecutive naturals, for example, 7734 + ... + 8946.

It is an arithmetic number, because the mean of its divisors is an integer number (594860).

Almost surely, 210116420 is an apocalyptic number.

10116420 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 10116420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14276640).

10116420 is an abundant number, since it is smaller than the sum of its proper divisors (18436860).

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

10116420 is a wasteful number, since it uses less digits than its factorization.

10116420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1364 (or 1362 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 10116420 is about 3180.6320126667. The cubic root of 10116420 is about 216.2763096282.

Adding to 10116420 its reverse (2461101), we get a palindrome (12577521).

The spelling of 10116420 in words is "ten million, one hundred sixteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 139 278 417 556 695 834 1213 1390 1668 2085 2426 2780 3639 4170 4852 6065 7278 8340 12130 14556 18195 24260 36390 72780 168607 337214 505821 674428 843035 1011642 1686070 2023284 2529105 3372140 5058210 10116420