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16124416 = 29711409
BaseRepresentation
bin111101100000…
…101000000000
31010100012112121
4331200220000
513111440131
61333334024
7254024650
oct75405000
933305477
1016124416
119113570
125497314
133457399
1421da360
151637911
hexf60a00

16124416 has 80 divisors (see below), whose sum is σ = 40265280. Its totient is φ = 6266880.

The previous prime is 16124413. The next prime is 16124419. The reversal of 16124416 is 61442161.

It is an interprime number because it is at equal distance from previous prime (16124413) and next prime (16124419).

It is not an unprimeable number, because it can be changed into a prime (16124413) 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, 39220 + ... + 39628.

It is an arithmetic number, because the mean of its divisors is an integer number (503316).

Almost surely, 216124416 is an apocalyptic number.

16124416 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 16124416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20132640).

16124416 is an abundant number, since it is smaller than the sum of its proper divisors (24140864).

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

16124416 is an equidigital number, since it uses as much as digits as its factorization.

16124416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 429 counting only the distinct ones).

The product of its digits is 1152, while the sum is 25.

The square root of 16124416 is about 4015.5218838901. The cubic root of 16124416 is about 252.6356673802.

Adding to 16124416 its reverse (61442161), we get a palindrome (77566577).

The spelling of 16124416 in words is "sixteen million, one hundred twenty-four thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 256 308 352 409 448 512 616 704 818 896 1232 1408 1636 1792 2464 2816 2863 3272 3584 4499 4928 5632 5726 6544 8998 9856 11452 13088 17996 19712 22904 26176 31493 35992 39424 45808 52352 62986 71984 91616 104704 125972 143968 183232 209408 251944 287936 366464 503888 575872 732928 1007776 1151744 1465856 2015552 2303488 4031104 8062208 16124416