Search a number
-
+
16125648 = 2437114363
BaseRepresentation
bin111101100000…
…111011010000
31010100021020020
4331200323100
513112010043
61333343440
7254031360
oct75407320
933307206
1016125648
119114490
125497b80
133457b06
1421da9a0
151637e83
hexf60ed0

16125648 has 80 divisors (see below), whose sum is σ = 51949056. Its totient is φ = 4187520.

The previous prime is 16125647. The next prime is 16125667. The reversal of 16125648 is 84652161.

16125648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16125647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1515 + ... + 5877.

Almost surely, 216125648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16125648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25974528).

16125648 is an abundant number, since it is smaller than the sum of its proper divisors (35823408).

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

16125648 is a wasteful number, since it uses less digits than its factorization.

16125648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4392 (or 4386 counting only the distinct ones).

The product of its digits is 11520, while the sum is 33.

The square root of 16125648 is about 4015.6752856774. The cubic root of 16125648 is about 252.6421014988.

It can be divided in two parts, 1612 and 5648, that added together give a triangular number (7260 = T120).

The spelling of 16125648 in words is "sixteen million, one hundred twenty-five thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 264 308 336 462 528 616 924 1232 1848 3696 4363 8726 13089 17452 26178 30541 34904 47993 52356 61082 69808 91623 95986 104712 122164 143979 183246 191972 209424 244328 287958 335951 366492 383944 488656 575916 671902 732984 767888 1007853 1151832 1343804 1465968 2015706 2303664 2687608 4031412 5375216 8062824 16125648