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16121456 = 2413179433
BaseRepresentation
bin111101011111…
…111001110000
31010100001110222
4331133321300
513111341311
61333312212
7254013221
oct75377160
933301428
1016121456
11911131a
125495668
133455c30
1421d9248
151636adb
hexf5fe70

16121456 has 40 divisors (see below), whose sum is σ = 33904080. Its totient is φ = 7382016.

The previous prime is 16121453. The next prime is 16121461. The reversal of 16121456 is 65412161.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16121453) 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, 37016 + ... + 37448.

It is an arithmetic number, because the mean of its divisors is an integer number (847602).

Almost surely, 216121456 is an apocalyptic number.

16121456 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 16121456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16952040).

16121456 is an abundant number, since it is smaller than the sum of its proper divisors (17782624).

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

16121456 is a wasteful number, since it uses less digits than its factorization.

16121456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633 (or 627 counting only the distinct ones).

The product of its digits is 1440, while the sum is 26.

The square root of 16121456 is about 4015.1532971980. The cubic root of 16121456 is about 252.6202074438.

The spelling of 16121456 in words is "sixteen million, one hundred twenty-one thousand, four hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 52 104 179 208 358 433 716 866 1432 1732 2327 2864 3464 4654 5629 6928 9308 11258 18616 22516 37232 45032 77507 90064 155014 310028 620056 1007591 1240112 2015182 4030364 8060728 16121456