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10420416 = 263279229
BaseRepresentation
bin100111110000…
…000011000000
3201121102010100
4213300003000
510131423131
61011202400
7154400136
oct47600300
921542110
1010420416
115978016
1235a6400
13220b036
141553756
15dac7e6
hex9f00c0

10420416 has 84 divisors (see below), whose sum is σ = 30378400. Its totient is φ = 3414528.

The previous prime is 10420411. The next prime is 10420429. The reversal of 10420416 is 61402401.

It is a super-2 number, since 2×104204162 = 217170139226112, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10420411) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45390 + ... + 45618.

Almost surely, 210420416 is an apocalyptic number.

10420416 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 10420416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15189200).

10420416 is an abundant number, since it is smaller than the sum of its proper divisors (19957984).

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

10420416 is a wasteful number, since it uses less digits than its factorization.

10420416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 313 counting only the distinct ones).

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

The square root of 10420416 is about 3228.0669138046. The cubic root of 10420416 is about 218.4213157958.

Adding to 10420416 its reverse (61402401), we get a palindrome (71822817).

The spelling of 10420416 in words is "ten million, four hundred twenty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 79 96 144 158 192 229 237 288 316 458 474 576 632 687 711 916 948 1264 1374 1422 1832 1896 2061 2528 2748 2844 3664 3792 4122 5056 5496 5688 7328 7584 8244 10992 11376 14656 15168 16488 18091 21984 22752 32976 36182 43968 45504 54273 65952 72364 108546 131904 144728 162819 217092 289456 325638 434184 578912 651276 868368 1157824 1302552 1736736 2605104 3473472 5210208 10420416